Cod sursa(job #3220021)

Utilizator NiffSniffCojocaru Calin Marcu NiffSniff Data 2 aprilie 2024 03:03:56
Problema Principiul includerii si excluderii Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.59 kb
#include <iostream>
#include <vector>
#include <fstream>
#include <algorithm>
using namespace std;
typedef long long ll;
string file = "pinex";
ifstream fin (file + ".in");
ofstream fout (file + ".out");
int v[20], cap;
ll n, x;

inline void divizori()
{
    cap = 0;
    if (!(x & 1))
    {
        v[cap++] = 2;
        do
            {
                x /= 2;
            }while (!(x & 1));
    }
    if (x%3 == 0)
    {
        v[cap++] = 3;
        do
            {
                x /= 3;
            }while (x % 3 == 0);
    }
    for (int d = 5; 1ll*d*d<=x; d+=6)
    {
        if (x % d == 0)
        {
            v[cap++] = d;
            do
            {
                x /= d;
            }while (x % d == 0);
        }
        int d2 = d+2;
        if (x % d2 == 0)
        {
            v[cap++] = d2;
            do
            {
                x /= d2;
            }while (x % d2 == 0);
        }
    }
    if (x>1)
        v[cap++] = x;
}


inline ll solve()
{
    divizori();
    ll s = 0;
    for (int i = 1; i < (1 << cap); i++)
    {
        ll p = 1;
        int nb = 0;
        for (int j = 0; j < cap; j++)
        {
            if (i & (1 << j))
            {
                p *= v[j];
                nb++;
            }
        }
        if (nb & 1)
        {
            s += n / p;
        }
        else
        {
            s -= n / p;
        }
    }
    return s;
}
int main ()
{
    int m;
    fin >> m;
    do
    {
        fin >> n >> x;
        fout << n-solve() << '\n';
    }while (--m);
}