Cod sursa(job #449048)

Utilizator alexandru92alexandru alexandru92 Data 5 mai 2010 15:11:49
Problema Invers modular Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.82 kb
/* 
 * File:   main.cpp
 * Author: virtualdemon
 *
 * Created on May 5, 2010, 3:02 PM
 */
#include <cstdlib>
#include <fstream>

/*
 * 
 */
using namespace std;
inline int pow( int x, int n, int p )
{
    int r;
    for( r=1; n; n>>=1 )
    {
        if( n&1 )
        {
            r=(1LL*r*x)%p;
            --n;
        }
        x=(1LL*x*x)%p;
    }
    return r;
}
inline int getPhi( int N )
{
    int i,phi=N;
    for( i=2; i*i <= N; ++i )
        if( 0 == N%i )
        {
            for( ; 0 == N%i; N/=i );
            phi/=i; phi*=(i-1);
        }
    if( N > 1 )
        phi/=N, phi*=(N-1);
    return phi;
}
int main(int argc, char** argv)
{
    int A, N;
    ifstream in( "inversmodular.in" );
    ofstream out( "inversmodular.out" );
    in>>A>>N;
     out<<pow( A, getPhi(N)-1, N  )<<'\n';
    return (EXIT_SUCCESS);
}