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#include <iostream>
#include <fstream>
#include <bitset>
#include <vector>
using namespace std;
ifstream in("pinex.in");
ofstream out("pinex.out");
const int maxd = 1000005;
bitset <maxd> ciur;
vector <int> prime;
vector <long long> diviz;
void descompune(long long n)
{
diviz.clear();
int ind = 0;
while(1LL * prime[ind] * prime[ind] <= n)
{
long long d = prime[ind];
if(n % d == 0)
{
while(n % d == 0)
n = n / d;
diviz.push_back(d);
}
ind++;
}
if(n > 1)
diviz.push_back(n);
}
void solve()
{
long long a, b;
in >> a >> b;
descompune(b);
int n = diviz.size();
long long sol = 0;
for(int conf = 1; conf < (1 << n); conf++)
{
int nrbiti = 0;
long long prod = 1;
for(int i = 0; i < n; i++)
{
if(conf & (1 << i))
{
nrbiti++;
prod = prod * diviz[i];
}
}
if(nrbiti % 2 == 1)
sol = sol + a / prod;
else
sol = sol - a / prod;
}
out << a - sol << "\n";
}
int main()
{
for(int i = 2; i < maxd; i++)
ciur[i] = 1;
for(int i = 2; i < maxd; i++)
if(ciur[i])
for(int j = i + i; j < maxd; j = j + i)
ciur[j] = 0;
for(int i = 2; i < maxd; i++)
if(ciur[i])
prime.push_back(i);
int m;
in >> m;
for(int i = 1; i <= m; i++)
solve();
return 0;
}