#include<bits/stdc++.h>
using namespace std;
#define ll __int64
#define esp 0.00000000001
#define pi 4*atan(1)
const int N=1e7+10,M=1e7+10,inf=1e9+10,mod=1e9+7;
int mu[N], p[N], np[N], cnt, sum[N];
ll gg[N];
void init() {
    mu[1]=1;
    for(int i=2; i<N; ++i) {
        if(!np[i]) p[++cnt]=i, mu[i]=-1;
        for(int j=1; j<=cnt && i*p[j]<N; ++j) {
            int t=i*p[j];
            np[t]=1;
            if(i%p[j]==0) { mu[t]=0; break; }
            mu[t]=-mu[i];
        }
    }
    for(int i=1;i*i<N;i++)
    {
        for(int t=i*i;t<N;t+=(i*i))
        sum[t]+=mu[t/i/i];
    }
    for(int i=1;i<N;i++)
    gg[i]=gg[i-1]+sum[i];

}
ll getans(ll b,ll d)
{
    if(b>d)swap(b,d);
    ll ans=0;
    for(ll L=1,R=0;L<=b;L=R+1)
    {
        R=min(b/(b/L),d/(d/L));
        ans+=(b/L)*(d/L)*(gg[R]-gg[L-1]);
    }
    return ans;
}
int main()
{
    int T;
    init();
    scanf("%d",&T);
    while(T--)
    {
        ll b,d;
        scanf("%I64d%I64d",&b,&d);
        printf("%I64d\n",(b*d)-getans(b,d));
    }
    return 0;
}