Cod sursa(job #1538587)

Utilizator mirunazMiruna Zavelca mirunaz Data 29 noiembrie 2015 14:33:23
Problema Invers modular Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.77 kb
#include<cstdio>
using namespace std;
int a,n,n2,i,j;
long long phi,c;
long long ridicarelaputere(long long x,long long b)
{
    if(b==0)
        return 1;
    else if(b%2==0)
        return ridicarelaputere((x*x)%n,b/2)%n;
    else
        return (x*ridicarelaputere(x,b-1))%n;
}
FILE *in,*out;
int main ()
{
    in=fopen("inversmodular.in","r");
    out=fopen("inversmodular.out","w");
    fscanf(in,"%d %d",&a,&n);
    phi=n;
    n2=n;
    for(i=2;i*i<=n2;i++)
        if(n2%i==0)
        {
            phi/=i;
            phi=phi*(i-1);
            while(n2%i==0)
                n2/=i;
        }
    if(n2!=1)
    {
        phi/=n2;
        phi=phi*(n2-1);
    }
    c=ridicarelaputere(a,phi-1);
    c%=n;
    fprintf(out,"%lld",c);
    return 0;
}