luoguP4571 [JSOI2009]瓶子和燃料 裴蜀定理

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裴蜀定理的扩展

最后返回的一定是\(k\)个数的\(gcd\)

因此对于每个数暴力分解因子统计即可

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#include <map>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;

#define ri register int
#define rep(io, st, ed) for(ri io = st; io <= ed; io ++)
#define drep(io, ed, st) for(ri io = ed; io >= st; io --)

int n, k, ans;
map <int, int> ex;
    
inline void resolve() {
    int v; cin >> v;
    for(int i = 1; i * i <= v; i ++)
        if(v % i == 0) {
            ex[i] ++;
            if(ex[i] >= k && i >= ans) ans = i;
            if(i != v / i) ex[v / i] ++;
            if(ex[v / i] >= k && v / i >= ans) ans = v / i;
        }
}
    
int main() {
    cin >> n >> k;
    for(int i = 1; i <= n; i ++) resolve();
    printf("%d\n", ans);
    return 0;
}