This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
int a[100001];
pair<int, pair<int, int>> edges[100000001];
int cmp[100001];
int find(int A) {
while (A != cmp[A]) cmp[A] = cmp[cmp[A]], A = cmp[A];
return A;
}
void onion(int A, int B) {
cmp[find(A)] = cmp[find(B)];
}
int main() {
int n;
cin >> n;
set<int> s;
for (int i = 0; i < n; i++) {
int x;
cin >> x;
s.insert(x);
}
n = 0;
for (int i : s) a[n++] = i;
int cnt = 0;
for (int i = 0; i < n; i++) {
if (i != n - 1) edges[cnt++] = {a[i + 1] - a[i], {i, i + 1}};
int lb = i + 1;
for (int j = 2 * a[i]; j <= a[n - 1]; j += a[i]) {
while (a[lb] < j) lb++;
edges[cnt++] = {a[lb] - j, {i, lb}};
}
}
sort(edges, edges + cnt);
for (int i = 0; i < n; i++) cmp[i] = i;
long long ans = 0;
for (int i = 0; i < cnt; i++) {
pair<int, int> verts = edges[i].second;
if (find(verts.first) != find(verts.second)) {
ans += edges[i].first;
onion(verts.first, verts.second);
}
}
cout << ans;
return 0;
}
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