제출 #332599

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
332599		thecodingwizard	새로운 문제 (POI11_sej)	C++11	0 / 100	1047 ms	19820 KiB

sej

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
#define ii pair<int, int>
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define all(x) x.begin(), x.end()
#define F0R(i, n) for (int i = 0; i < n; i++)
#define FOR(i, a, b) for (int i = a; i < b; i++)
#define inf 1000000010

bool no[10000001];
bool notPrime[10000001];

int main() {
    cin.tie(0)->sync_with_stdio(0);

    ll n; int k; cin >> n >> k;
    if (k == 1) {
        cout << n << endl;
        return 0;
    }
    ll bad[k-1]; F0R(i, k-1) cin >> bad[i];
    ll good; cin >> good;

    ll gcd = __gcd(n, good); assert(gcd <= 1e7);
    for (int i = 2; i <= gcd; i++) {
        if (!notPrime[i]) {
            for (int j = i+i; j <= gcd; j += i) {
                notPrime[j] = true;
            }
        }
    }

    for (int i = 2; i <= gcd; i++) {
        if (notPrime[i]) continue;
        bool isBad = false;
        F0R(j, k-1) if (bad[j] % i == 0) isBad = true;
        if (isBad) {
            for (int j = i; j <= gcd; j += i) {
                no[j] = true;
            }
        }
    }

    for (int i = 2; i <= gcd; i++) {
        if (gcd % i == 0 && !no[i]) {
            cout << n/i << endl;
            return 0;
        }
    }

    return 0;
}

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