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#include <fstream>
using namespace std;
ifstream fin("pinex.in");
ofstream fout("pinex.out");
long long C[1000004],v[1000004],a[1000004],w[104],A,B,q,k,n;
int main()
{
fin>>q;
for(long long i=2;i*i<=1000000;i++)
if(C[i]==0)
{
v[++k]=i;
for(long long j=1;j*i<=1000000;j++)
C[i*j]=1;
}
for(;q>0;q--)
{
fin>>A>>B;
n=0;
for(long long i=1;v[i]*v[i]<=k && i<=k;i++)
{
if(B%v[i]==0)
{
a[++n]=v[i];
while(B%v[i]==0)
B/=v[i];
}
}
if(B>1)
a[++n]=B;
long long s=0;
for(long long i=0;i<=n;i++)
w[i]=0;
while(!w[0])
{
long long j=n;
for(;w[j]==1;j--)
w[j]=0;
w[j]=1;
if(w[0]==1)
break;
long long nr=0,s1=1;
for(long long i=1;i<=n;i++)
{
if(w[i]==true)
{
nr++;
s1*=a[i];
}
}
if(nr%2==1)
s+=A/s1;
else
s-=A/s1;
}
if(s<0)
s*=(-1);
fout<<A-s<<"\n";
}
return 0;
}