CodeForces - 1114C Trailing Loves (or L'oeufs?) （质因子，阶乘分解）

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关于阶乘分解

void solve()
{
    ll n, b;cin >> n >> b;
    //处理出b的所有素因子并记录下次数x，检查该素因子在n!中的幂次y
    //对所有素因子取一个最小值
    vector<pair<ll,ll> > prime;
    for (ll i = 2; i * i <= b; ++i)
    {
        ll num = 0;
        while (b % i == 0) ++num,b /= i;
        if (num) prime.push_back(make_pair(i, num));
    }
    if(b>1) prime.push_back(make_pair(b,1));
    ll ans = 1ll<<60;
    for (auto x : prime)
    {
        ll nn = n, sum = 0;
        while (nn)
        {
            sum += (nn / x.first);
            nn /= x.first;
        }
        ans = min(ans, sum / x.second);
    }
    cout << ans << endl;
}
signed main()
{
    int T = 1;
    while (T--)  solve();
    return 0;
}