Cod sursa(job #2706868)

Utilizator razviOKPopan Razvan Calin razviOK Data 15 februarie 2021 22:13:06
Problema Invers modular Scor 90
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.77 kb
#include <iostream>
#include <fstream>
using namespace std;
ifstream f("inversmodular.in");
ofstream g("inversmodular.out");
long long A,N,EulerTotient;
int Phi(int K)
{
    long long rez=1;
    for(int i=2; i*i<=K; i++)
        if(K%i==0)
        {
            rez=rez*(i-1);
            K/=i;
            while(rez%i==0)
            {
                rez*=i;
                K/=i;
            }
        }

    if(K!=1)
        rez*=(K-1);

    return rez;
}
long long logPow()
{
    long long rez=1;
    while(EulerTotient)
    {
        if(EulerTotient%2)
            rez=(rez*A)%N;

        A=(A*A)%N;
        EulerTotient/=2;
    }

    return rez;
}
int main()
{
    f>>A>>N;
    EulerTotient=Phi(N)-1;
    g<<logPow();
    return 0;
}