分解 b b b的质因数 ∏ i = 1 m p i c i {\prod_{i=1}^m{p_i^{c_i}}} ∏i=1m​pici​​
计算答案并除以 c i c_i ci​,再取min

https://codeforces.com/contest/1114/problem/C

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int maxn = 1e3 + 5;
ll a[maxn], b[maxn];
ll sum;
ll n, k;
ll ans = 0x3f3f3f3f3f3f3f3f, tmp;
// 999999999 999999999
void fs(ll s) {
    ll i, j = 0;
    for(i = 2; i * i <= s; i++)
        if(s % i == 0) {
            ll cnt = 0;
            a[j] = i;
            while(s % i == 0) {
                cnt++;
                s /= i;
            }
            b[j++] = cnt;
        }
    if(s > 1) {
        a[j] = s;
        b[j++] = 1;
    }
    sum = j;
}
ll fb(ll x, ll y) { // 看作为因数有多少个 for我一般这么写
    ll res = 0;
    for(ll i = y; i <= x;) {
        res += x / i;
        x /= i;
    }
    return res;
}

ll fb1(ll x,ll y) { // 看作为因数有多少个
	if (x<y)
		return 0;  
	else
		return x/y+fb(x/y,y); 
}

int main() {
    cin >> n >> k;
    fs(k);
    for(int i = 0; i < sum; i++) {
        tmp = fb(n, a[i]);
        tmp /= b[i];
        if(ans > tmp)
            ans = tmp;
        else
            ans = ans;
    }
    printf("%lld\n", ans);
    return 0;
}