Cod sursa(job #2456310)

Utilizator NeganAlex Mihalcea Negan Data 14 septembrie 2019 10:27:46
Problema Invers modular Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.83 kb
#include <fstream>
#define Nat long long
using namespace std;
ifstream fin("inversmodular.in");
ofstream fout("inversmodular.out");

Nat P1(int a, int n, int MOD)
{
    Nat p = 1;
    while(n > 0)
    {
        if(n % 2 == 1)
            p = 1LL * p * a % MOD;
        n /= 2;
        a = 1LL * a * a % MOD;
    }
    return p;
}
int Phi(int n)
{
    int sol, p;
    sol = n;
    for(p = 2;n > 1 && p * p <= n;p++)
    {
        if(n % p == 0)
        {
            sol = sol / p * (p - 1);
            while(n % p == 0)
                n /= p;
        }
    }
    if(n > 1)
        sol = sol / n * (n - 1);
}
int invmod(int a, int n)
{
    int p = Phi(n);
    int sol = P1(a, Phi(n) - 1, n);
    return sol;
}

int main()
{
    Nat a, n;
    fin >> a >> n;
    fout << invmod(a, n);
    return 0;
}