Cod sursa(job #2445221)

Utilizator Mihai145Oprea Mihai Adrian Mihai145 Data 3 august 2019 11:22:59
Problema Invers modular Scor 50
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.84 kb
#include <fstream>

using namespace std;

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

int GetPhi(int nr)
{
    int phi = nr;

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

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

    if(nr != 1)
    {
        phi /= nr;
        phi *= (nr - 1);
    }

    return phi;
}

int lgput(int base, int exp, int N)
{
    int ans = 1;
    int aux = base;

    for(int i = 1; 1LL * i <= exp; i <<= 1)
    {
        if(i & exp)
            ans = (1LL * ans * aux) % N;

        aux = (1LL * aux * aux) % N;
    }

    return ans;
}

int main()
{
    int A, N; fin >> A >> N;

    int phi = GetPhi(N);

    fout << lgput(A, phi - 1, N);

    return 0;
}