#include <bits/stdc++.h>
using namespace std;
template <class F, class T>
T convert(F a, int p = -1) {
  stringstream ss;
  if (p >= 0) ss << fixed << setprecision(p);
  ss << a;
  T r;
  ss >> r;
  return r;
}
template <class T>
T gcd(T a, T b) {
  T r;
  while (b != 0) {
    r = a % b;
    a = b;
    b = r;
  }
  return a;
}
template <class T>
T lcm(T a, T b) {
  return a / gcd(a, b) * b;
}
template <class T>
T sqr(T x) {
  return x * x;
}
template <class T>
T cube(T x) {
  return x * x * x;
}
template <class T>
int getbit(T s, int i) {
  return (s >> i) & 1;
}
template <class T>
T onbit(T s, int i) {
  return s | (T(1) << i);
}
template <class T>
T offbit(T s, int i) {
  return s & (~(T(1) << i));
}
template <class T>
int cntbit(T s) {
  return s == 0 ? 0 : cntbit(s >> 1) + (s & 1);
}
template <class T>
int disp(T s) {
  for (int i = 0; i < (((int)(s).size())); ++i) cout << s[i] << " ";
  cout << '\n';
}
template <class T>
int disp(T s, int n) {
  for (int i = (1); i <= (n); ++i) cout << s[i] << " ";
  cout << '\n';
}
const long double PI = acos(-1.0);
const long double eps = 1e-9;
const int dr[] = {-1, 0, +1, 0};
const int dc[] = {0, +1, 0, -1};
const int inf = (int)1e9 + 5;
const long long linf = (long long)1e16 + 5;
const long long mod = (long long)1e9 + 7;
const int MX = 4e5 + 7;
const int MAX = 15 + 7;
bool check[MX], verify[MX];
int a[MX], old[MX];
int n, mn;
void test() {
  mn = inf;
  cin >> n;
  for (int i = (1); i <= (n); ++i) {
    cin >> a[i];
    old[i] = a[i];
    mn = min(mn, a[i]);
    check[i] = false;
    verify[i] = false;
  }
  for (int i = (1); i <= (n); ++i) {
    if (a[i] % mn == 0) check[i] = true;
  }
  sort(a + 1, a + n + 1);
  for (int i = (1); i <= (n); ++i) {
    if (a[i] % mn == 0) verify[i] = true;
    if (check[i] != verify[i]) {
      cout << "NO" << '\n';
      return;
    }
    if ((!check[i]) && (a[i] != old[i])) {
      cout << "NO" << '\n';
      return;
    }
  }
  cout << "YES" << '\n';
}
void sol() {
  int t;
  cin >> t;
  for (int i = (1); i <= (t); ++i) test();
}
int main() {
  std::ios::sync_with_stdio(false);
  cin.tie(NULL);
  sol();
  return 0;
}
