Cod sursa(job #3220018)

Utilizator NiffSniffCojocaru Calin Marcu NiffSniff Data 2 aprilie 2024 02:13:53
Problema Principiul includerii si excluderii Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.46 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;
void divizori(ll x)
{
    cap = 0;
    if (!(x & 1))
    {
        v[cap++] = 2;
        while (!(x&1))
        {
            x /= 2;
        }
    }
    for (int d = 3; 1ll*d*d<=x; d+=2)
    {
        if (x % d == 0)
        {
            v[cap++] = d;
            while (x % d == 0)
                x /= d;
        }
    }
    if (x>1)
        v[cap++] = x;
}
ll n, x;
ll bkt(ll multiplu, int k, int ind)
{
    ll s(0);
    if (k == 0)
    {

        ll a = multiplu, b= n/multiplu*multiplu;
        //cout << a << ' ' << b << ' ' << multiplu << endl;
        if (a<=b)
        {
            s = (b-a)/multiplu + 1;
        }
    }
    else
    {
        for (int i = ind; i<cap; i++)
        {
            s += bkt(multiplu*v[i],k-1,i+1);
        }
    }

    return s;
}
ll solve()
{
    divizori(x);
    ll s = 0;
    for (int i=1; i<=cap; i++)
    {
        ll f = bkt(1,i,0);
        if (i&1)
        {
            s += f;
        }
        else
        {
            s -= f;
        }
    }
    return s;
}
int main ()
{
    int m;
    fin >> m;
    while (m--)
    {
        fin >> n >> x;
        fout << n-solve() << '\n';
        //cout << "\n\n------------------\n\n";
    }
}