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Cod sursa(job #597302)
#include <fstream>
using namespace std;
const int N=1099999,M=16;
long long d[M],prim[N],a,b,rez;
bool c[N];
ifstream in("pinex.in");
ofstream out("pinex.out");
void ciur()
{
c[0]=c[1]=true;
for (int i=2;i*i<N;i++)
if (!c[i])
{
prim[++prim[0]]=i;
for (int j=i*i;j<N;j+=i)
c[j]=true;
}
}
void bkt(int p,int val)
{
if (p==d[0]+1)
{
rez+=a/val;
return;
}
bkt(p+1,val);
bkt(p+1,val*d[p]);
}
int main()
{
long long t,i;
in>>t;
ciur();
while (t--)
{
in>>a>>b;
rez=0;
d[0]=0;
for (i=1;prim[i]*prim[i]<=b && i<=prim[0];i++)
if (b%prim[i]==0)
{
d[++d[0]]=-prim[i];
while (b%prim[i]==0)
b/=prim[i];
}
if (b!=1)
d[++d[0]]=-b;
bkt(1,1);
out<<rez<<"\n";
}
return 0;
}