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;
typedef long long ll;
struct DSU {
vector<int> p, sz;
DSU(int n) : p(n), sz(n, 1) {
iota(p.begin(), p.end(), 0);
}
int find(int i) {
return p[i] = (p[i] == i ? i : find(p[i]));
}
bool uni(int a, int b) {
a = find(a);
b = find(b);
if (a == b) return false;
if (sz[a] < sz[b]) swap(a, b);
sz[a] += sz[b];
p[b] = a;
return true;
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n; cin >> n;
vector<int> p(n);
for (int& i : p) cin >> i;
sort(p.begin(), p.end());
p.erase(unique(p.begin(), p.end()), p.end());
n = p.size();
int ma = p.back();
vector<int> nxt(ma + 1);
for (int i = n - 1; i >= 0; --i) {
int o = (i == 0 ? -1 : p[i - 1]);
for (int j = o + 1; j <= p[i]; ++j) {
nxt[j] = i;
}
}
vector<vector<pair<int, int>>> edges(ma + 1);
for (int i = 0; i < n - 1; ++i) {
edges[p[i + 1] % p[i]].push_back({i, i + 1});
for (int j = 2 * p[i]; j <= ma; j += p[i]) {
edges[p[nxt[j]] % p[i]].push_back({i, nxt[j]});
}
}
DSU dsu(n);
ll ans = 0;
for (int i = 0; i <= ma; ++i) {
for (pair<int, int> edge : edges[i]) {
if (dsu.uni(edge.first, edge.second)) {
ans += i;
}
}
}
cout << ans << '\n';
return 0;
}
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