Cod sursa(job #1360662)

Utilizator mirceadinoMircea Popoveniuc mirceadino Data 25 februarie 2015 17:07:47
Problema Invers modular Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.97 kb
#include<cstdio>
#include<string>

using namespace std;

#ifdef HOME
const string inputFile = "input.txt";
const string outputFile = "output.txt";
#else
const string problemName = "inversmodular";
const string inputFile = problemName + ".in";
const string outputFile = problemName + ".out";
#endif

int A, MOD;

int expLog(int B, int E) {
    if(E == 0) return 1;
    if(E == 1) return B % MOD;
    int t = expLog(B, E / 2);
    return (((t * 1LL * t) % MOD) * expLog(B, E % 2)) % MOD;
}

int phi(int N) {
    int ans = N, i;

    for(i = 2; i * i <= N; i++)
        if(N % i == 0) {
            ans = ans / i * (i - 1);
            while(N % i == 0)
                N /= i;
        }

    if(N > 1)
        ans = ans / N * (N - 1);

    return ans;
}

int invMod(int A) {
    return expLog(A, phi(MOD) - 1);
}

int main() {
    freopen(inputFile.c_str(), "r", stdin);
    freopen(outputFile.c_str(), "w", stdout);

    scanf("%d%d", &A, &MOD);

    printf("%d\n", invMod(A));

    return 0;
}