Cod sursa(job #2292986)

Utilizator Mihai145Oprea Mihai Adrian Mihai145 Data 30 noiembrie 2018 13:01:37
Problema Invers modular Scor 80
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.82 kb
#include <fstream>

using namespace std;

int GetPhi(int x)
{
    int phi = x, xx = x;

    for(int i = 2; i * i <= xx; i++)
        if(xx % i == 0)
        {
            phi = (phi / i) * (i - 1);

            while(x % i == 0)
                x /= i;
        }

    if(x)
        phi = (phi / x) * (x - 1);

    return phi;
}

int Power(int base, int exp, int mod)
{
    int sol = 1;
    int aux = base % mod;

    for(long long i = 1; i <= exp; i <<= 1)
    {
        if(i & exp)
            sol = 1LL * sol * aux % mod;

        aux = 1LL * aux * aux % mod;
    }

    return sol;
}

int main()
{
    ifstream fin("inversmodular.in");
    ofstream fout("inversmodular.out");
    int A, N;

    fin >> A >> N;

    int phi = GetPhi(N);
    fout << Power(A, phi - 1, N);

    return 0;
}