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#include <bits/stdc++.h>
#pragma GCC optimize("O2")
std::ifstream fin("pinex.in");
std::ofstream fout("pinex.out");
//#define fin std::cin
//#define fout std::cout
const int lim = 1e6;
int t;
int A, B;
std::vector<int> prime;
void precalc_primes()
{
bool ciur[lim + 1];
ciur[0] = ciur[1] = true;
for(int i = 2; i * i <= lim; ++i)
if(!ciur[i])
for(int j = 2 * i; j <= lim; j += i)
ciur[j] = true;
for(int i = 2; i <= lim; ++i)
if(!ciur[i])
prime.emplace_back(i);
}
int main()
{
std::ios_base::sync_with_stdio(false);
fin.tie(nullptr);
fout.tie(nullptr);
fin >> t;
precalc_primes();
while(t--)
{
fin >> A >> B;
std::vector<int> primes_B;
int idx = 0;
while(B > 1)
{
if(B % prime[idx] == 0)
{
primes_B.emplace_back(prime[idx]);
while(B % prime[idx] == 0)
B /= prime[idx];
}
idx++;
if(prime[idx] * prime[idx] > B && B > 1)
{
primes_B.emplace_back(B);
break;
}
}
int b_size = primes_B.size();
int64_t ans = A;
for(int i = 1; i < (1 << b_size); ++i)
{
int sign = -1;
int64_t prod = 1;
for(int j = 0; j < b_size; ++j)
{
int good = ((i >> j) & 1);
if(good)
sign *= -1, prod *= primes_B[j];
}
ans -= sign * (A / prod);
}
fout << ans << "\n";
}
return 0;
}