Cod sursa(job #3261417)

Utilizator Mihai_999Diaconeasa Mihai Mihai_999 Data 5 decembrie 2024 19:43:29
Problema Zero 2 Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.24 kb
#include <iostream>
#include <fstream>
#define nl '\n'

using namespace std;
const long long INF = 1LL << 62;

int Fp[15], Ex[15], Nf;
long long Expf[15];

ifstream fin("zero2.in");
ofstream fout("zero2.out");

void desc(int n)
{
    Nf = 0;
    for (int d = 2; d*d <= n; d += (d == 2) ? 1 : 2)
    {
        if (n % d == 0)
        {
            Nf++;
            Fp[Nf] = d;
            Ex[Nf] = 0;
            do
            {
                Ex[Nf]++;
                n/=d;
            }
            while (n % d == 0);
        }
    }
    if (n > 1)
    {
        Nf++;
        Fp[Nf] = n;
        Ex[Nf] = 1;
    }
}

void expp(int N)
{
    for (int i = 1; i <= Nf; i++)
    {
        long long pp = Fp[i];
        Expf[i] = 0;
        while (N >= pp)
        {
            int k = N / pp;
            Expf[i] += pp*k*(k-1)/2;
            Expf[i] += (N-k*pp+1)*k;
            pp *= Fp[i];
        }
    }
}
int main()
{
    int N, B, t = 10;
    long long nrz;
    while (t--)
    {
        fin >> N >> B;
        desc(B);
        expp(N);
        nrz = INF;
        for (int i = 1; i <= Nf; i++)
            nrz = min(nrz, Expf[i]/Ex[i]);
        fout << nrz << nl;
    }
    return 0;
}