Cod sursa(job #2510304)

Utilizator Arina2003Arina Aioanei Arina2003 Data 16 decembrie 2019 12:19:58
Problema Zero 2 Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.2 kb
#include <fstream>

using namespace std;

ifstream f ("zero2.in");
ofstream g ("zero2.out");

const long long INF = 1LL << 62;///infinit

int fp[15], ex[15], nf;
long long expf[15];

void desc (int n)
{
    nf = 0;
    for (int d = 2; d * d <= n; d++)
        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--)
    {
        f >> n >> b;
        desc (b);
        expp (n);
        nrz = INF;
        for (int i = 1; i <= nf; i++)
            nrz = min (nrz, expf[i] / ex[i]);
        g << nrz << '\n';
    }
    return 0;
}