Cod sursa(job #437275)

Utilizator alexandru92alexandru alexandru92 Data 9 aprilie 2010 15:58:20
Problema Invers modular Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.82 kb
/* 
 * File:   main.cpp
 * Author: VirtualDemon
 *
 * Created on April 9, 2010, 3:44 PM
 */
#include <cstdlib>
#include <fstream>

/*
 * 
 */
using namespace std;
inline int pow( int A, int PhiN, int N )
{
    int r=1;
    for( ; PhiN; PhiN>>=1 )
    {
        if( PhiN&1 )
        {
            r=(1LL*A*r)%N;
            --PhiN;
        }
        A=(1LL*A*A)%N;
    }
    return r;
}
inline int GetPhiN( 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( void )
{
    int A, N;
    ifstream in( "inversmodular.in" );
    ofstream out( "inversmodular.out" );
    in>>A>>N;
    out<<( pow( A, GetPhiN(N)-1, N ) )<<'\n';
    return EXIT_SUCCESS;
}