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Cod sursa(job #479392)
#include <iostream>
#include <vector>
using namespace std;
vector<int> primes;
void initPrimes()
{
primes.clear();
vector<char> a;
a.resize(1000001);
for(int i=2;i<1000000;++i)
if (a[i] == 0)
{
primes.push_back(i);
for(int j=i+i;j<1000000;j+=i)
a[i]=1;
}
}
long long m, a, b;
vector<long long> divs;
long long wrong(unsigned int i, long long num)
{
if(i >= divs.size())
return 0;
long long cnt = wrong(i + 1, num);
num *= divs[i];
cnt += (a / num);
cnt -= wrong(i + 1, num);
return cnt;
}
int main()
{
initPrimes();
freopen("pinex.in", "r", stdin);
freopen("pinex.out", "w", stdout);
divs.reserve(60);
cin >> m;
while (m --)
{
cin >> a >> b;
divs.clear();
int j = 0;
for(unsigned int i=0;i<primes.size() && b!=1; ++ i)
if (b % primes[i] == 0)
{
divs.push_back(primes[i]);
while (b % primes[i] == 0)
b /= primes[i];
}
if(b != 1)
divs.push_back(b);
cout << a - wrong(0, 1l) << endl;
}
return 0;
}