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;
#define ll long long
#define pii pair<int, int>
#define f first
#define s second
vector<int> rep;
int finde(int i)
{
if (i != rep[i]) rep[i] = finde(rep[i]);
return rep[i];
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<int> nums;
vector<int> mult(1e7+1, -1);
vector<int> alt(1e7+1, -1);
vector<bool> vis(1e7+1, 0);
for(int i = 0; i < n; i++)
{
int a;
cin >> a;
if (vis[a]) continue;
vis[a] = true;
nums.push_back(a);
}
sort(nums.begin(), nums.end());
ll sol = 0;
n = nums.size();
int curr = 1e7;
int val = -1;
int oldval = 0;
for (int i = n-1; i >= 0; i--)
{
int ele = nums[i];
while (curr > ele)
{
mult[curr] = val;
alt[curr] = oldval;
curr--;
}
oldval = val;
val = i;
}
while (curr >=0)
{
mult[curr] = val;
alt[curr] =oldval;
curr--;
}
if (nums[0]==1)
{
cout << 0;
return 0;
}
vector<vector<pii>> dist(1e7+1);
rep = vector<int>(n);
iota(rep.begin(), rep.end(), 0);
for (int i = 0; i < n; i++)
{
for (int j = nums[i]; j <= 1e7; j+=nums[i])
{
int best = mult[j];
if (best==i) best = alt[j];
if (best != -1 && nums[best]-j < nums[i]) dist[nums[best]-j].push_back({i, best});
}
}
int c = 0;
for (int i = 0; i <= 1e7; i++)
{
for (pii ele:dist[i])
{
if (finde(ele.f) !=finde(ele.s))
{
c++;
sol+=i;
rep[finde(ele.f)]=finde(ele.s);
if (c==n-1)
{
cout << sol;
return 0;
}
}
}
}
cout << sol;
return 0;
}
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