tc=int(input())
for i in range(tc):
n=int(input())
x=False
l=[int(i) for i in input().split()]
l1=sorted(l)
k=min(l)
for i in range(n):
if l[i]==l1[i]: continue
elif l[i]%k==0 and l1[i]%k==0: continue
else:
x=True
break
if x==True: print("NO")
else: print("YES")
#include<bits/stdc++.h>
using namespace std;
#define ll long long
void solve(){
int n;
cin>>n;
int arr[n];
int temp[n];
for(int i=0;i<n;i++){
cin>>arr[i];
temp[i]=arr[i];
}
sort(temp,temp+n);
int small=temp[0];
vector<int>v;
for(int i=0;i<n;i++){
if(arr[i]!=temp[i])
v.push_back(arr[i]);
}
int check=1;
sort(v.begin(),v.end());
for(int i=0;i<v.size();i++){
if(v[i]%small!=0){
check=0;
break;
}
}
if(check) cout<<"YES"<<endl;
else cout<<"NO"<<endl;
}
int main(){
int t;
cin>>t;
while(t--){
solve();
}
}
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