結果

問題 No.2570 最大最大公約数
ユーザー 👑 binap
提出日時 2023-12-02 17:34:28
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 100 ms / 2,000 ms
コード長 2,674 bytes
コンパイル時間 4,735 ms
コンパイル使用メモリ 260,004 KB
最終ジャッジ日時 2025-02-18 06:00:52
ジャッジサーバーID
(参考情報)
judge4 / judge5
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 AC * 1
other AC * 28
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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>
#define rep(i,n) for(int i=0;i<n;i++)
using namespace std;
using namespace atcoder;
typedef long long ll;
typedef vector<int> vi;
typedef vector<long long> vl;
typedef vector<vector<int>> vvi;
typedef vector<vector<long long>> vvl;
typedef long double ld;
typedef pair<int, int> P;
ostream& operator<<(ostream& os, const modint& a) {os << a.val(); return os;}
template <int m> ostream& operator<<(ostream& os, const static_modint<m>& a) {os << a.val(); return os;}
template<typename T> istream& operator>>(istream& is, vector<T>& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;}
template<typename U, typename T> ostream& operator<<(ostream& os, const pair<U, T>& p){os << p.first << ' ' << p.second; return os;}
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return
    os;}
template <typename T> ostream& operator<<(ostream& os, const vector<vector<T>>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : "");
    return os;}
// Sieve of Eratosthenes
// https://youtu.be/UTVg7wzMWQc?t=2774
struct Sieve {
int n;
vector<int> f, primes;
Sieve(int n=1):n(n), f(n+1) {
f[0] = f[1] = -1;
for (ll i = 2; i <= n; ++i) {
if (f[i]) continue;
primes.push_back(i);
f[i] = i;
for (ll j = i*i; j <= n; j += i) {
if (!f[j]) f[j] = i;
}
}
}
bool isPrime(int x) { return f[x] == x;}
vector<int> factorList(int x) {
vector<int> res;
while (x != 1) {
res.push_back(f[x]);
x /= f[x];
}
return res;
}
vector<pair<ll,int>> factor(ll x) {
vector<pair<ll,int>> res;
for (int p : primes) {
int y = 0;
while (x%p == 0) x /= p, ++y;
if (y != 0) res.emplace_back(p,y);
}
if (x != 1) res.emplace_back(x,1);
return res;
}
vector<long long> devisor(long long x){
vector<pair<long long, int>> f = factor(x);
vector<long long> res;
res.push_back(1);
for(auto [p, num] : f){
vector<long long> old;
swap(res, old);
for(auto x : old){
long long tmp = 1;
rep(i, num + 1){
res.push_back(x * tmp);
tmp *= p;
}
}
}
return res;
}
};
int main(){
int n, k;
cin >> n >> k;
vl a(n);
cin >> a;
Sieve sieve(1001001);
unordered_set<long long> devisor;
rep(i, n){
auto res = sieve.devisor(a[i]);
for(long long x : res) devisor.insert(x);
}
long long ans = 0;
for(long long x : devisor){
long long cnt = 0;
rep(i, n) cnt += min(a[i] - a[i] / x * x, (a[i] / x + 1) * x - a[i]);
if(cnt <= k) ans = max(ans, x);
}
cout << ans << "\n";
return 0;
}
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