Cod sursa(job #1971153)

Utilizator Vlad_lsc2008Lungu Vlad Vlad_lsc2008 Data 19 aprilie 2017 21:20:10
Problema Invers modular Scor 40
Compilator cpp Status done
Runda Arhiva educationala Marime 0.66 kb
#include<cstdio>
#define ll long long
using namespace std;

ll getphi(ll nr)
{
    ll sol=nr,mod=nr;
    for(int i=2;i*i<=nr;i++)
        if(nr%i==0)
        {
            while(!nr%i) nr/=i;
            sol=sol/i*(i-1)%mod;
        }
    if(nr!=1) sol=sol/nr*(nr-1)%mod;
    return sol;
}

int main()
{
    ll m,n;
    freopen("inversmodular.in","r",stdin);
    freopen("inversmodular.out","w",stdout);
    scanf("%lld%lld",&n,&m);
    ll p=getphi(m)-1;
    ll sol=1;
    for(int i=1;i<=p;i<<=1)
    {
        if(i&p) sol=sol*n%m;
        n=n*n%m;
    }
    printf("%lld\n",sol);
    fclose(stdin);
    fclose(stdout);
    return 0;
}