// competitive-verifier: PROBLEM https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/all/NTL_1_C
#include "../../../src/io/fastin/lib.hpp"
#include "../../../src/io/fastout/lib.hpp"
#include "../../../src/nt/gl/lcm/lib.hpp"
#include "../../../src/nt/gl/rgcd/lib.hpp"
using namespace tifa_libs;
CEXP u32 LIMIT = 1e7;
int main() {
u64 n;
u32 ans;
fin_uint >> n >> ans;
rgcd rgcd_(LIMIT);
for (u32 i = 1, x; i < n; ++i) {
fin_uint >> x;
if (ans < LIMIT) (ans /= rgcd_(ans, x)) *= x;
else ans = lcm(ans, x);
}
fout << ans << '\n';
return 0;
}
#line 1 "test/cpv/aizu-ntl/ntl_1_c.cpp"
// competitive-verifier: PROBLEM https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/all/NTL_1_C
#line 2 "src/io/fastin/lib.hpp"
#line 2 "src/util/alias/others/lib.hpp"
#line 2 "src/util/consts/lib.hpp"
#line 2 "src/util/alias/num/lib.hpp"
#line 2 "src/util/util/lib.hpp"
// https://github.com/Tiphereth-A/CP-lib
#include <bits/extc++.h>
// clang-format off
namespace tifa_libs {
#define CEXP constexpr
#define CEXPE constexpr explicit
#define CR const&
#define CP const*
#define PC *const
#define CPC const*const
#define TPN typename
#define NE noexcept
#define CNE const noexcept
#define ND [[nodiscard]]
#define cT_(...) std::conditional_t<sizeof(__VA_ARGS__) <= sizeof(size_t) * 2, __VA_ARGS__, __VA_ARGS__ CR>
// NOLINTNEXTLINE(misc-const-correctness)
#define flt_(T, i, l, r, ...) for (T i = (l), i##e = (r)__VA_OPT__(, ) __VA_ARGS__; i < i##e; ++i)
#define retif_(cond, if_true, ...) if cond return if_true __VA_OPT__(; else return __VA_ARGS__)
#ifdef ONLINE_JUDGE
#undef assert
#define assert(x) 42
#endif
using namespace std::ranges;
using namespace std::literals;
template <class T>
CEXP T abs(T x) NE { retif_((x < 0), -x, x); }
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/num/lib.hpp"
// clang-format off
namespace tifa_libs {
#define mk0_(w, t) using w = t; using c##w = const t
#define mk_(w, t) mk0_(w, t); CEXP w operator""_##w(unsigned long long x) NE { return (w)x; }
mk_(i8, int8_t) mk_(u8, uint8_t) mk_(i16, int16_t) mk_(u16, uint16_t) mk_(i32, int32_t) mk_(u32, uint32_t) mk_(i64, int64_t) mk_(u64, uint64_t) mk_(isz, ssize_t) mk_(usz, size_t) mk_(chr, char) mk_(schr, signed char) mk_(uchr, unsigned char) mk_(sint, signed) mk_(uint, unsigned);
mk0_(i128, __int128_t); mk0_(u128, __uint128_t); mk0_(f32, float); mk0_(f64, double); mk0_(f128, long double);
#undef mk0_
#undef mk_
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/consts/lib.hpp"
// clang-format off
namespace tifa_libs {
using std::numbers::pi_v;
template <std::floating_point FP>
inline FP eps_v = std::sqrt(std::numeric_limits<FP>::epsilon());
template <std::floating_point FP>
CEXP void set_eps(FP v) NE { eps_v<FP> = v; }
CEXP u32 TIME = ((__TIME__[0] & 15) << 20) | ((__TIME__[1] & 15) << 16) | ((__TIME__[3] & 15) << 12) | ((__TIME__[4] & 15) << 8) | ((__TIME__[6] & 15) << 4) | (__TIME__[7] & 15);
CEXP auto STR2U16 = [] { std::array<u32, 65536> table{}; table.fill(-1_u32); flt_ (u32, i, 48, 58) flt_ (u32, j, 48, 58) table[i << 8 | j] = (j & 15) * 10 + (i & 15); return table; }();
inline const auto fn_0 = [](auto&&...) NE {};
inline const auto fn_is0 = [](auto x) NE { return x == 0; };
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/others/lib.hpp"
namespace tifa_libs {
template <class T>
struct chash {
CEXP static u64 C = u64(pi_v<f128> * 2e18) | 71;
CEXP u64 operator()(T x) CNE { return __builtin_bswap64(((u64)x ^ TIME) * C); }
};
// clang-format off
#define mk_(w, t) using w = t; using c##w = const t;
mk_(strn, std::string) mk_(strnv, std::string_view)
#undef mk_
template <class T> struct edge_t { T w; u32 u, v; CEXP auto operator<=>(edge_t CR) const = default; }; template <class T> using cedge_t = const edge_t<T>;
template <class T> struct pt3 { T _0, _1, _2; CEXP auto operator<=>(pt3 CR) const = default; }; template <class T> using cpt3 = const pt3<T>;
template <class T> struct pt4 { T _0, _1, _2, _3; CEXP auto operator<=>(pt4 CR) const = default; }; template <class T> using cpt4 = const pt4<T>;
#define mkT_(w, t, ...) template <class T> using w = t __VA_OPT__(, ) __VA_ARGS__; template <class T> using c##w = const t __VA_OPT__(, ) __VA_ARGS__;
mkT_(ptt, std::pair<T, T>) mkT_(alc, std::pmr::polymorphic_allocator<T>) mkT_(vec, std::vector<T>) mkT_(vvec, vec<vec<T>>) mkT_(v3ec, vvec<vec<T>>) mkT_(vecpt, vec<ptt<T>>) mkT_(vvecpt, vvec<ptt<T>>) mkT_(ptvec, ptt<vec<T>>) mkT_(ptvvec, ptt<vvec<T>>)
#undef mkT_
template <class T> using itl = std ::initializer_list<T>;
template <class T, usz ext = std::dynamic_extent> using spn = std::span<T const, ext>;
template <class T, usz N> using arr = std::array<T, N>; template <class T, usz N> using carr = std::array<const T, N>;
template <class U, class T> using vecp = vec<std::pair<U, T>>; template <class U, class T> using vvecp = vvec<std::pair<U, T>>;
template <class U, class T> using vvecp = vvec<std::pair<U, T>>; template <class U, class T> using vvvecp = vvec<vvec<std::pair<U, T>>>;
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class T, class C = std::less<T>> using set = __gnu_pbds::tree<T, __gnu_pbds::null_type, C>;
template <class K, class V, class C = std::less<K>> using map = __gnu_pbds::tree<K, V, C>;
// hset<u64> s({}, {}, {}, {}, {1<<16});
template <class T, class HF = chash<T>> using hset = __gnu_pbds::gp_hash_table<T, __gnu_pbds::null_type, HF>;
// hmap<u64, int> s({}, {}, {}, {}, {1<<16});
template <class K, class V, class HF = chash<K>> using hmap = __gnu_pbds::gp_hash_table<K, V, HF>;
#else
using std::set, std::map;
template <class T, class HF = chash<T>> using hset = std::unordered_set<T, HF>;
template <class K, class V, class HF = chash<K>> using hmap = std::unordered_map<K, V, HF>;
#endif
#ifdef PB_DS_PRIORITY_QUEUE_HPP
template <class T, class C = std::less<T>> using pq = __gnu_pbds::priority_queue<T, C>;
#else
template <class T, class C = std::less<T>> using pq = std::priority_queue<T, vec<T>, C>;
#endif
template <class T> using pqg = pq<T, std::greater<T>>;
// clang-format on
#define mk1_(V, A, T) using V##A = V<T>;
#define mk_(V, A, T) mk1_(V, A, T) mk1_(c##V, A, T)
#define mk(A, T) mk_(edge_t, A, T) mk_(ptt, A, T) mk_(pt3, A, T) mk_(pt4, A, T) mk_(vec, A, T) mk_(vvec, A, T) mk_(v3ec, A, T) mk_(vecpt, A, T) mk_(vvecpt, A, T) mk_(ptvec, A, T) mk_(ptvvec, A, T) mk1_(spn, A, T) mk1_(itl, A, T)
mk(b, bool) mk(c, chr) mk(i, i32) mk(u, u32) mk(ii, i64) mk(uu, u64) mk(t, isz) mk(z, usz) mk(f, f32) mk(d, f64) mk(s, strn);
#undef mk
#undef mk_
#undef mk1_
} // namespace tifa_libs
#line 2 "src/util/traits/math/lib.hpp"
// clang-format off
#line 4 "src/util/traits/math/lib.hpp"
namespace tifa_libs {
template <class T> concept char_c = std::same_as<T, char> || std::same_as<T, signed char> || std::same_as<T, unsigned char>;
#pragma GCC diagnostic ignored "-Wpedantic"
template <class T> concept s128_c = std::same_as<T, __int128_t> || std::same_as<T, __int128>;
template <class T> concept u128_c = std::same_as<T, __uint128_t> || std::same_as<T, unsigned __int128>;
template <class T> concept i128_c = s128_c<T> || u128_c<T>;
#pragma GCC diagnostic warning "-Wpedantic"
template <class T> concept imost64_c = std::integral<T> && sizeof(T) * __CHAR_BIT__ <= 64;
template <class T> concept smost64_c = imost64_c<T> && std::signed_integral<T>;
template <class T> concept umost64_c = imost64_c<T> && std::unsigned_integral<T>;
template <class T> concept int_c = i128_c<T> || imost64_c<T>;
template <class T> concept sint_c = s128_c<T> || smost64_c<T>;
template <class T> concept uint_c = u128_c<T> || umost64_c<T>;
template <class T> concept arithm_c = std::is_arithmetic_v<T> || int_c<T>;
template <class T> concept mint_c = requires(T x) { {x.mod()} -> uint_c; {x.val()} -> uint_c; };
template <class T> concept dft_c = requires(T x, std::vector<TPN T::data_t> v, u32 n) { {x.size()} -> std::same_as<u32>; x.bzr(n); x.dif(v, n); x.dit(v, n); };
template <class T> concept ntt_c = dft_c<T> && requires(T x) { T::max_size; T::G; };
template <class T> struct to_sint : std::make_signed<T> {};
template <> struct to_sint<u128> { using type = i128; };
template <> struct to_sint<i128> { using type = i128; };
template <class T> using to_sint_t = TPN to_sint<T>::type;
template <class T> struct to_uint : std::make_unsigned<T> {};
template <> struct to_uint<u128> { using type = u128; };
template <> struct to_uint<i128> { using type = u128; };
template <class T> using to_uint_t = TPN to_uint<T>::type;
template <arithm_c T> struct to_bigger : std::make_unsigned<T> {};
#define _(w,ww) template <> struct to_bigger<w> { using type = ww; }
#define _2(w,ww) _(i##w,i##ww); _(u##w,u##ww);
_2(8, 16); _2(16, 32); _2(32, 64); _2(64, 128); _(f32, f64); _(f64, f128);
#undef _2
#undef _
template <class T> using to_bigger_t = TPN to_bigger<T>::type;
template <arithm_c T> CEXP T inf_v = [] {
if CEXP(sint_c<T>) return T(to_uint_t<T>(-1) / 4 - 1);
else if CEXP(uint_c<T>) return T(-1) / 2 - 1;
else return std::numeric_limits<T>::max() / 2 - 1;
}();
} // namespace tifa_libs
// clang-format on
#line 5 "src/io/fastin/lib.hpp"
#ifdef __linux__
#include <sys/mman.h>
#include <sys/stat.h>
#endif
namespace tifa_libs {
struct fastin_data {
CEXP static u32 BUF = 0x200005;
FILE* f_ = nullptr;
#ifdef __linux__
chr *bg, *ed, *p;
struct stat Fl;
void rebind(FILE* f = nullptr) NE {
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
if (!f_) munmap(bg, Fl.st_size + 1);
#pragma GCC diagnostic warning "-Wmaybe-uninitialized"
if (!f) return;
auto fd = fileno(f_ = f);
fstat(fd, &Fl);
p = (bg = (chr*)mmap(nullptr, Fl.st_size + 4, PROT_READ, MAP_PRIVATE, fd, 0));
ed = bg + Fl.st_size;
madvise(bg, Fl.st_size + 4, MADV_SEQUENTIAL);
}
ND bool iseof() CNE { return p == ed; }
~fastin_data() NE { rebind(); }
#else
// NOLINTNEXTLINE(modernize-avoid-c-arrays)
chr buf[BUF], *ed, *p;
void rebind(FILE* f) NE { f_ = f, p = ed = buf; }
ND bool iseof() NE {
if (p == ed) [[unlikely]]
ed = (p = buf) + fread(buf, 1, BUF, f_);
return p == ed;
}
#endif
fastin_data(FILE* f = stdin) NE { assert(f), rebind(f); }
fastin_data(fastin_data CR) = delete;
fastin_data& operator=(fastin_data CR) = delete;
};
// clang-format off
enum FIN_SET : u8 { FS_NEWLINE = 1, FS_SPACE = 2, FS_NEG = 4, FS_NUM = 8, FS_ALPHA = 16, FS_OTHERS = 32 };
// clang-format on
template <u32 charset>
class fastin {
fastin_data& data;
static CEXP bool is_cntrl(chr c) NE {
if CEXP (charset & FS_OTHERS) return iscntrl(c);
else if CEXP (charset & FS_NEWLINE) return c < 32;
else return false;
}
static CEXP bool is_cntrls(chr c) NE {
if CEXP (charset & FS_OTHERS) return !isgraph(c);
else if CEXP (charset & (FS_NEWLINE | FS_SPACE)) return c <= 32;
else return false;
}
static CEXP bool is_digit(chr c) NE {
if CEXP (charset & (FS_ALPHA | FS_OTHERS)) return isdigit(c);
else if CEXP (!(charset & FS_NUM)) return false;
else if CEXP (!(charset & FS_NEG)) return c > 32;
else return c >= 48;
}
static CEXP bool is_neg_digit(chr c) NE {
if CEXP (!(charset & FS_NEG)) return is_digit(c);
else if CEXP (charset & (FS_ALPHA | FS_OTHERS)) return c == '-' || isdigit(c);
else return c > 32;
}
#ifdef __linux__
template <bool ignore_space = true>
void read_str(strn& n) NE {
chr* l;
if CEXP (ignore_space) {
skip_cntrls(), l = data.p;
while (!is_cntrls(*data.p)) ++data.p;
} else {
skip_cntrl(), l = data.p;
while (!is_cntrl(*data.p)) ++data.p;
}
n.assign(l, data.p);
}
#else
template <bool ignore_space>
void read_str(strn& n) NE {
if CEXP (n.clear(); ignore_space) {
n.push_back(skip_cntrls().get());
while (!is_cntrls(peek())) n.push_back(get());
} else {
n.push_back(skip_cntrl().get());
while (!is_cntrl(peek())) n.push_back(get());
}
}
#endif
public:
fastin(fastin_data& data) NE : data(data) {}
fastin(fastin CR) = delete;
fastin& operator=(fastin CR) = delete;
chr peek() NE {
if (data.iseof()) [[unlikely]]
return EOF;
return *data.p;
}
chr get_unchk() NE { return *data.p++; }
chr get() NE {
if (data.iseof()) [[unlikely]]
return EOF;
return get_unchk();
}
#define SKIP(name, pred) \
fastin& skip_##name() NE { \
while (pred(peek())) get_unchk(); \
return *this; \
}
SKIP(cntrl, is_cntrl)
SKIP(cntrls, is_cntrls)
SKIP(ndigit, !is_digit)
SKIP(nnegdigit, !is_neg_digit)
#undef SKIP
template <class T>
requires(imost64_c<T> && !char_c<T>)
fastin& operator>>(T& n) NE {
if CEXP (std::same_as<T, bool>) n = skip_ndigit().get() != '0';
else {
n = 0;
bool is_neg = false;
if CEXP ((charset & FS_NEG) && std::signed_integral<T>) is_neg = (skip_nnegdigit().peek() == '-' && get_unchk());
else skip_ndigit();
std::conditional_t<sizeof(T) < sizeof(u32), u32, to_uint_t<T>> n_ = 0;
#ifdef __linux__
// clang-format off
#define _ {while (~STR2U16[*(u16*)data.p]) (n_ *= 100) += STR2U16[*(u16*)data.p], data.p += 2; if (is_digit(peek())) (n_ *= 10) += get_unchk() & 15;}
if ((usz)data.p & 1) { if (is_digit(peek())) [[likely]] { (n_ *= 10) += get_unchk() & 15; _ } } else _;
#undef _
// clang-format on
#else
while (is_digit(peek())) (n_ *= 10) += get_unchk() & 15;
#endif
if CEXP (sint_c<T>)
if (is_neg) n_ = -n_;
n = (T)n_;
}
return *this;
}
fastin& operator>>(std::floating_point auto& n) NE {
static strn s;
(*this >> s), std::from_chars(begin(s).base(), end(s).base(), n);
return *this;
}
//! ignore cntrl and space
fastin& operator>>(char_c auto& n) NE {
n = skip_cntrls().get();
return *this;
}
fastin& operator>>(strn& n) NE {
read_str<true>(n);
return *this;
}
fastin& getline(strn& n) NE {
read_str<false>(n);
return *this;
}
//! NOT ignore cntrl and space
fastin& strict_read(char_c auto& n) NE {
n = get();
return *this;
}
fastin& operator>>(fastin& (*func)(fastin&)) NE { return func(*this); }
};
inline fastin_data fid_stdin;
inline fastin<FS_NEWLINE | FS_SPACE | FS_NEG | FS_NUM | FS_ALPHA | FS_OTHERS> fin(fid_stdin);
inline fastin<FS_NEWLINE | FS_SPACE | FS_NEG | FS_NUM> fin_int(fid_stdin);
inline fastin<FS_NEWLINE | FS_SPACE | FS_NUM> fin_uint(fid_stdin);
template <u32 w>
inline fastin<w>& ws(fastin<w>& f) NE { return f.skip_cntrls(); }
} // namespace tifa_libs
#line 2 "src/io/fastout/lib.hpp"
#line 5 "src/io/fastout/lib.hpp"
namespace tifa_libs {
class fastout {
CEXP static u32 BUF = 0x200005, INTBUF = 63;
FILE* f_ = nullptr;
// NOLINTNEXTLINE(modernize-avoid-c-arrays)
chr int_buf[INTBUF];
// NOLINTNEXTLINE(modernize-avoid-c-arrays)
chr buf[BUF], *p;
chr CPC ed = buf + BUF;
std::chars_format fmt = std::chars_format::general;
int precision = 6;
fastout& write_str(chr CP n, usz len = 0) NE {
if (!len) len = strlen(n);
usz l_;
chr CP n_ = n;
while (p + len >= ed) memcpy(p, n_, l_ = usz(ed - p)), p += l_, n_ += l_, len -= l_, flush();
return memcpy(p, n_, len), p += len, *this;
}
public:
fastout(FILE* f = stdout) NE { rebind(f); }
fastout(fastout CR) = delete;
fastout& operator=(fastout CR) = delete;
~fastout() NE { flush(); }
void rebind(FILE* f) NE { f_ = f, p = buf; }
void flush() NE { fwrite(buf, 1, usz(p - buf), f_), p = buf; }
fastout& operator<<(char_c auto n) NE {
if (p == ed) [[unlikely]]
flush();
*(p++) = n;
return *this;
}
fastout& operator<<(chr CP n) NE { return write_str(n); }
fastout& operator<<(strn CR str) NE { return write_str(str.data(), str.size()); }
fastout& operator<<(strnv str) NE { return write_str(str.data(), str.size()); }
template <class T>
requires(smost64_c<T> && !char_c<T>)
fastout& operator<<(T n) NE {
if CEXP (sizeof(T) < sizeof(i32)) return *this << (i32)n;
else {
if (n < 0) return *this << '-' << -to_uint_t<T>(n);
return *this << to_uint_t<T>(n);
}
}
template <class T>
requires(umost64_c<T> && !char_c<T>)
fastout& operator<<(T n) NE {
if CEXP (std::same_as<T, bool>) return *this << (chr(n | '0'));
else if CEXP (sizeof(T) < sizeof(u32)) return *this << (u32)n;
else if (usz(p - buf) >= BUF - INTBUF) [[unlikely]] {
auto res = std::to_chars(int_buf, int_buf + INTBUF, n);
return write_str(int_buf, usz(res.ptr - int_buf));
} else {
auto res = std::to_chars(p, buf + BUF, n);
p = res.ptr;
return *this;
}
}
fastout& operator<<(std::floating_point auto n) NE {
if (usz(p - buf) >= BUF - INTBUF) [[unlikely]] {
auto res = std::to_chars(int_buf, int_buf + INTBUF, n, fmt, precision);
return write_str(int_buf, usz(res.ptr - int_buf));
} else {
auto res = std::to_chars(p, buf + BUF, n, fmt, precision);
p = res.ptr;
return *this;
}
}
fastout& setf(std::chars_format f) NE {
fmt = f;
return *this;
}
//! only tested in libstdc++
fastout& operator<<(decltype(std::setprecision(0)) p) NE {
precision = *(int*)(&p);
return *this;
}
fastout& operator<<(fastout& (*func)(fastout&)) NE { return func(*this); }
};
inline fastout fout;
inline fastout& scientific(fastout& f) NE { return f.setf(std::chars_format::scientific); }
inline fastout& fixed(fastout& f) NE { return f.setf(std::chars_format::fixed); }
inline fastout& hexfloat(fastout& f) NE { return f.setf(std::chars_format::hex); }
inline fastout& defaultfloat(fastout& f) NE { return f.setf(std::chars_format::general); }
inline fastout& endl(fastout& f) NE {
(f << '\n').flush();
return f;
}
using std::setprecision;
} // namespace tifa_libs
#line 2 "src/nt/gl/lcm/lib.hpp"
#line 2 "src/nt/gl/gcd/lib.hpp"
#line 4 "src/nt/gl/gcd/lib.hpp"
namespace tifa_libs {
namespace gcd_impl_ {
template <uint_c T, uint_c U>
CEXP std::common_type_t<T, U> gcd__(T u, U v) NE {
using W = std::common_type_t<T, U>;
retif_((!u || !v) [[unlikely]], u ^ v);
const auto k = std::__countr_zero(u | v);
u >>= k, v >>= k;
do {
if (W const _ = v >> std::__countr_zero(v); u > _) v = u - _, u = _;
else v = _ - u;
} while (v);
return u << k;
}
} // namespace gcd_impl_
template <int_c T, int_c U>
CEXP auto gcd(T a, U b) NE { return gcd_impl_::gcd__((to_uint_t<T>)abs(a), (to_uint_t<U>)abs(b)); }
} // namespace tifa_libs
#line 4 "src/nt/gl/lcm/lib.hpp"
namespace tifa_libs {
template <int_c T, int_c U>
CEXP std::common_type_t<T, U> lcm(T a, U b) NE {
using V = std::common_type_t<T, U>;
using W = to_uint_t<V>;
retif_((!a || !b) [[unlikely]], 0);
auto [v, u] = minmax(a = abs(a), b = abs(b));
return u / (V)gcd_impl_::gcd__<W, W>(u, v) * v;
}
} // namespace tifa_libs
#line 2 "src/nt/gl/rgcd/lib.hpp"
#line 2 "src/math/iroot/sqrt/lib.hpp"
#line 4 "src/math/iroot/sqrt/lib.hpp"
namespace tifa_libs {
CEXP u32 isqrt(u64 x) NE {
retif_((!x) [[unlikely]], 0);
#pragma GCC diagnostic ignored "-Wconversion"
csint sh = 31 - (std::bit_width(x) - 1) / 2;
#pragma GCC diagnostic warning "-Wconversion"
u32 u = [](u64 x) NE {
CEXP arr<u8, 192> TAB{128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 144, 145, 146, 147, 148, 149, 150, 151, 151, 152, 153, 154, 155, 156, 156, 157, 158, 159, 160, 160, 161, 162, 163, 164, 164, 165, 166, 167, 167, 168, 169, 170, 170, 171, 172, 173, 173, 174, 175, 176, 176, 177, 178, 179, 179, 180, 181, 181, 182, 183, 183, 184, 185, 186, 186, 187, 188, 188, 189, 190, 190, 191, 192, 192, 193, 194, 194, 195, 196, 196, 197, 198, 198, 199, 200, 200, 201, 201, 202, 203, 203, 204, 205, 205, 206, 206, 207, 208, 208, 209, 210, 210, 211, 211, 212, 213, 213, 214, 214, 215, 216, 216, 217, 217, 218, 219, 219, 220, 220, 221, 221, 222, 223, 223, 224, 224, 225, 225, 226, 227, 227, 228, 228, 229, 229, 230, 230, 231, 232, 232, 233, 233, 234, 234, 235, 235, 236, 237, 237, 238, 238, 239, 239, 240, 240, 241, 241, 242, 242, 243, 243, 244, 244, 245, 246, 246, 247, 247, 248, 248, 249, 249, 250, 250, 251, 251, 252, 252, 253, 253, 254, 254, 255, 255, 255};
u32 u = TAB[(x >> 56) - 64];
u = (u << 7) + (u32)(x >> 41) / u;
return (u << 15) + (u32)((x >> 17) / u);
}(x << 2 * sh);
u >>= sh, u -= (u64)u * u > x;
return u;
}
} // namespace tifa_libs
#line 2 "src/nt/lsieve/impl1/lib.hpp"
#line 4 "src/nt/lsieve/impl1/lib.hpp"
namespace tifa_libs {
template <class... Ts>
struct lsieve : Ts... {
vecb not_prime;
vecu primes;
CEXPE lsieve(u32 n) NE : Ts(n)..., not_prime(n) {
if (n < 2) return;
// clang-format off
primes.reserve((usz)max(127, int(n * (n >= 2e5 ? 1.6 : 1.7) / std::bit_width(n) + 1)));
// clang-format on
flt_ (u32, i, 2, n) {
if (!not_prime[i]) primes.push_back(i), (Ts::prime(i), ...);
for (auto j : primes) {
if (i * j >= n) break;
not_prime[i * j] = true;
if (i % j) (Ts::coprime(i, j), ...);
else {
(Ts::not_coprime(i, j), ...);
break;
}
}
}
primes.shrink_to_fit();
}
};
} // namespace tifa_libs
#line 5 "src/nt/gl/rgcd/lib.hpp"
namespace tifa_libs {
class rgcd {
struct ls_rgcd {
struct F3 {
u32 a, b, c;
CEXP F3(u32 _a = 0, u32 _b = 0, u32 _c = 0) NE : a(_a), b(_b), c(_c) {}
};
vec<F3> fs;
protected:
CEXPE ls_rgcd(u32 n) NE : fs(n) {
if (n > 1) fs[1] = {1, 1, 1};
}
CEXP void prime(u32 p) NE { fs[p] = {1, 1, p}; }
CEXP void coprime(u32 i, u32 j) NE {
F3& now = fs[i * j];
now = fs[i];
if ((now.a *= j) > now.b) swap(now.a, now.b);
if (now.b > now.c) swap(now.b, now.c);
}
CEXP void not_coprime(u32 i, u32 j) NE {
F3& now = fs[i * j];
now = fs[i];
if ((now.a *= j) > now.b) swap(now.a, now.b);
if (now.b > now.c) swap(now.b, now.c);
}
};
lsieve<ls_rgcd> s;
vvecu g_;
public:
CEXPE rgcd(u32 n) NE : s(n), g_(isqrt(n) + 1, vvecu::value_type(isqrt(n) + 1)) {
flt_ (u32, i, 1, (u32)g_.size()) {
g_[i][0] = g_[0][i] = g_[i][i] = i;
flt_ (u32, j, 1, i) g_[i][j] = g_[j][i] = g_[j][i % j];
}
}
CEXP u32 operator()(u32 x, u32 y) CNE {
if (assert(x < s.fs.size() && y < s.fs.size()); x < g_.size() && y < g_.size()) return g_[x][y];
u32 ans = 1, _;
for (cu32 i : {s.fs[x].a, s.fs[x].b, s.fs[x].c}) y /= (_ = i < g_.size() ? g_[i][y % i] : (y % i == 0) * (i - 1) + 1), ans *= _;
return ans;
}
};
} // namespace tifa_libs
#line 6 "test/cpv/aizu-ntl/ntl_1_c.cpp"
using namespace tifa_libs;
CEXP u32 LIMIT = 1e7;
int main() {
u64 n;
u32 ans;
fin_uint >> n >> ans;
rgcd rgcd_(LIMIT);
for (u32 i = 1, x; i < n; ++i) {
fin_uint >> x;
if (ans < LIMIT) (ans /= rgcd_(ans, x)) *= x;
else ans = lcm(ans, x);
}
fout << ans << '\n';
return 0;
}
test/cpv/aizu-ntl/ntl_1_c.cpp