Cod sursa(job #2654835)

Utilizator Stefan_BircaBirca Stefan Stefan_Birca Data 2 octombrie 2020 13:38:54
Problema Invers modular Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.74 kb
#include <bits/stdc++.h>

using namespace std;

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

int LogP(int a, int n, int P)
{
    int rez = 1;
    while(n > 0)
    {
        if (n % 2 == 1)
            rez = 1LL * rez * a % P;
        n /= 2;
        a = 1LL * a * a % P;
    }
    return rez;
}

int Phi(int n)
{
    int f = 2, e, phi = n;
    while(n > 1)
    {
        e = 0;
        while(n % f == 0)
        {
            e++;
            n/=f;
        }
        if(e > 0) phi = phi / f * (f - 1);
        if(f * f < n) f++;
        else f = n;
    }

    return phi;
}

int main()
{
    long long a, P;
    fin >> a >> P;
    fout << LogP(a, Phi(P) - 1, P);

    return 0;
}