#include <algorithm>
#include <iostream>
#include <stdio.h>
#include <vector>
#include <map>
#include <stack>
#include <queue>
#include <deque>
#include <string>
#include <cmath>
using namespace std;
int gcd(int a, int b) {
int tmp;
while (b != 0) {
tmp = a % b;
a = b;
b = tmp;
}
return a;
}
int main() {
//freopen("input.txt", "rt", stdin);
int t;
scanf("%d", &t);
for (int i = 0; i < t; i++) {
int n;
scanf("%d", &n);
vector<int> v;
for (int i = 0; i < n; i++) {
int num;
scanf("%d", &num);
v.push_back(num);
}
long long sum = 0;
for (int i = 0; i < v.size() - 1; i++) {
for (int j = i + 1; j < v.size(); j++) {
sum = sum + gcd(v[i], v[j]);
}
}
printf("%lld\n", sum);
}
return 0;
}