#include <bits/stdc++.h> using namespace std; #define l 1000000 long long int a[1000010]; long long int b[1000010]; long long int sum,t,n; //lcm sum problem void fun() { for(int i=1;i<=l;i++) a[i]=i; for(int i=2;i<=l;i++) //checking multiples of all prime numbers if(a[i]==i) for(int j=2*i;j<=l;j+=i) a[j]-=a[j]/i; //cout<<a[j]<<endl; //prime numer phi(prime numeber -p)=p-1;//property for(int i=2;i<=l;i++) if(a[i]==i) a[i]=i-1; for(int i=1;i<=l;i++) for(int j=i;j<=l;j+=i) b[j]+=i*a[i]; } int main() { fun(); //freopen("3.txt", "r", stdin); //freopen("ans3.txt","w",stdout); int t; cin>>t; while(t--) { sum=0; cin>>n; sum=(1+b[n])* n / 2; cout<<sum<<endl; } }
Standard input is empty
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