#include<stdio.h>
#include<stdlib.h>
#include<assert.h>
long long cmp(const long long* a, const long long* b)
{
return *a - *b;
}
int main()
{
int t;
scanf("%d", &t);
while (t--) {
int n;
scanf("%d", &n);
int* WeiOfbox = (int*)malloc(sizeof(int) * n); assert(WeiOfbox);
for (int i = 0; i < n; i++) scanf("%d", &WeiOfbox[i]);
int axm = 1;
long long max = 0;
while (axm < n) {
if (n % axm == 0) {
int k = n / axm;
long long* Karr = (long long*)calloc(k , sizeof(long long)); assert(Karr);
int z = 0;
for (int i = 0; i < k; i++)
{
for (int j = 0; j < axm; j++)
{
Karr[i] += WeiOfbox[z++];
}
}
qsort(Karr, k, sizeof(long long), cmp);
max = max > Karr[k - 1] - Karr[0] ? max : Karr[k - 1] - Karr[0];
free(Karr);
Karr = NULL;
}
++axm;
}
printf("%lld\n",max);
free(WeiOfbox);
WeiOfbox = NULL;
}
return 0;
}