結果

問題 No.2682 Visible Divisible
ユーザー pitP
提出日時 2024-03-21 00:59:10
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 4,804 bytes
コンパイル時間 4,495 ms
コンパイル使用メモリ 261,876 KB
最終ジャッジ日時 2025-02-20 10:22:04
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample -- * 3
other TLE * 1 -- * 13
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); }
istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); }
istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } 
typedef long long ll;
typedef vector<vector<int>> Graph;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define FOR(i,l,r) for (int i = l;i < (int)(r); i++)
#define rep(i,n) for (int i = 0;i < (int)(n); i++)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define my_sort(x) sort(x.begin(), x.end())
#define my_max(x) *max_element(all(x))
#define my_min(x) *min_element(all(x))
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
const int INF = (1<<30) - 1;
const ll LINF = (1LL<<62) - 1;
const int MOD = 998244353;
const int MOD2 = 1e9+7;
const double PI = acos(-1);
vector<int> di = {1,0,-1,0};
vector<int> dj = {0,1,0,-1};
#ifdef LOCAL
#  include <debug_print.hpp>
#  define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define debug(...) (static_cast<void>(0))
#endif
// A ^ N を M で割ったあまり
template<class T> T pow_mod(T A, T N, T M) {
    T res = 1 % M;
    A %= M;
    while (N) {
        if (N & 1) res = (res * A) % M;
        A = (A * A) % M;
        N >>= 1;
    }
    return res;
}
// Miller-Rabin 素数判定
bool Miller_Rabin(long long N) {
    if (N <= 1) return false;
    if (N == 2) return true;
    if (N % 2 == 0) return false;
    vector<long long> A = {2, 325, 9375, 28178, 450775,
                           9780504, 1795265022};
    long long s = 0, d = N - 1;
    while (d % 2 == 0) {
        ++s;
        d >>= 1;
    }
    for (auto a : A) {
        if (a % N == 0) return true;
        long long t, x = pow_mod<__int128_t>(a, d, N);
        if (x != 1) {
            for (t = 0; t < s; ++t) {
                if (x == N - 1) break;
                x = __int128_t(x) * x % N;
            }
            if (t == s) return false;
        }
    }
    return true;
}
long long find_prime_factor(long long n) {
    if (n % 2 == 0) return 2;
    long long m = pow(n, 0.125) + 1;
    for (long long c = 1; c < n; ++c) {
        auto f = [n, c](long long a) { return ((long long)pow(a, 2) + c) % n; };
        long long y = 0;
        long long g = 1;
        long long q = 1;
        long long r = 1;
        long long k = 0;
        long long x, ys;
        while (g == 1) {
            x = y;
            while (k < (3 * r) / 4) {
                y = f(y);
                k += 1;
            }
            while (k < r && g == 1) {
                ys = y;
                for (long long i = 0; i < min(m, r - k); ++i) {
                    y = f(y);
                    q = (q * abs(x - y)) % n;
                }
                g = __gcd(q, n);
                k += m;
            }
            k = r;
            r *= 2;
        }
        if (g == n) {
            g = 1;
            y = ys;
            while (g == 1) {
                y = f(y);
                g = __gcd(abs(x - y), n);
            }
        }
        if (g == n) continue;
        if (Miller_Rabin(g)) return g;
        else if (Miller_Rabin(n / g)) return n / g;
        else return find_prime_factor(g);
    }
    return -1;
}
map<long long, long long> factorize(long long n) {
    map<long long, long long> res;
    while (!Miller_Rabin(n) && n > 1) {
        long long p = find_prime_factor(n);
        long long s = 0;
        while (n % p == 0) {
            n /= p;
            s += 1;
        }
        res[p] = s;
    }
    if (n > 1) res[n] = 1;
    return res;
}
int main(){
    cin.tie(0);
    ios_base::sync_with_stdio(false);
    int N; cin >> N;
    ll K; cin >> K;
    vector<ll> A(N);
    rep(i,N) cin >> A[i];
    auto facts = factorize(K);
    map<ll,ll> mp;
    vector<ll> p;
    for(auto itr = facts.begin(); itr != facts.end(); itr++){
        p.push_back(itr->first);
    }
    rep(i,N){
        for(auto &v: p){
            ll cnt = 0;
            while((A[i] % v) == 0){
                A[i] /= v;
                cnt++;
            }
            mp[v] = max(mp[v], cnt);
        }
    }
    for(auto &v : p){
        if(mp[v] < facts[v]){
            cout << "No" << endl;
            return 0;
        }
    }
    cout << "Yes" << endl;
}
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