Submission #614607

#TimeUsernameProblemLanguageResultExecution timeMemory
6146071binStrongbox (POI11_sej)C++14
100 / 100
823 ms4476 KiB
#include <bits/stdc++.h>
 
using namespace std;
 
#define all(v) v.begin(), v.end()
typedef long long ll;
const int NMAX = 3e5 + 5;
ll n, x, k, m[NMAX], ans;
vector<ll> v;

ll gcd(ll a, ll b){
    if(!b) return a;
    return gcd(b,  a % b);
}
 
int chk(ll x){
    for(ll& y : v)
        if(y % x == 0) return 0;
    return 1;
}
 
int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    
    cin >> n >> k;
    for(int i = 0; i < k; i++) cin >> m[i], m[i] = gcd(m[i], n);
    for(int i = 0; i < k - 1; i++) v.emplace_back(m[i]);
    sort(all(v)); v.erase(unique(all(v)), v.end());
    
    x = m[k - 1];
    for(ll i = 1; i * i <= x; i++)
        if(x % i == 0){
            if(chk(i)) {
                ans = n / i; break;
            }
            else if(chk(x / i)) ans = n / (x / i);
        }
    cout << ans;
    return 0;
}
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