#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
ll p;
int q,T;
vector<int> vc;
int main()
{
scanf("%d",&T);
while(T--)
{
scanf("%lld %d",&p,&q);
if(p % q)
{
printf("%lld\n",p);
continue;
}
ll ans = 1;
vc.clear();
for(int i=2;i*i<=q;i++)
if(q % i == 0)
vc.push_back(i),vc.push_back(q/i);
vc.push_back(q);
for(int i=0;i<(signed)vc.size();i++)
{
ll r = p;
while(r % q == 0) r /= vc[i];
ans = max(ans,r);
}
printf("%lld\n",ans);
}
}
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