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Cod sursa(job #798689)
#include <cstdio>
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <bitset>
#include <algorithm>
#include <sstream>
#include <iomanip>
#include <cmath>
#include <cstdlib>
#include <ctype.h>
#include <cstring>
#include <ctime>
using namespace std;
#define MAXD 20
int N, X;
int fact[MAXD];
long long solve(int X) {
long long totalSum = (long long)2 * X * (2 * X + 1) / 2;
long long crtSum;
int num;
int aux = X;
fact[0] = 0;
for(int i = 2; i * i <= X; i++)
if(X % i == 0) {
while(X % i == 0)
X /= i;
fact[++fact[0]] = i;
}
if(X > 1)
fact[++fact[0]] = X;
for(int conf = 1; conf < (1 << fact[0]); conf++) {
long long prod = 1;
int numBits = 0;
for(int i = 1; i <= fact[0]; i++)
if(conf & (1 << (i - 1))) {
prod *= fact[i];
numBits++;
}
num = (2 * aux) / prod;
crtSum = (long long)num * (num + 1) / 2 * prod;
if(numBits & 1)
totalSum -= crtSum;
else
totalSum += crtSum;
}
return totalSum;
}
int main() {
freopen("sum.in", "r", stdin);
freopen("sum.out","w", stdout);
scanf("%d", &N);
for(int i = 0; i < N; i++) {
scanf("%d", &X);
printf("%lld\n", solve(X));
}
return 0;
}