Find Three Integers with Maximum LCM in C++

In this tutorial, we will be discussing a program to find three integers less than or equal to N such that their LCM is maximum.

For this we will be provided with an integer value. Our task is to find other three integers smaller than the given value such that their LCM is maximum.

Example

 Live Demo

#include <bits/stdc++.h>
using namespace std;
//finding three integers less than given value
//having maximum LCM
void findMaximumLCM(int n) {
   if (n % 2 != 0) {
      cout << n << " " << (n - 1) << " " << (n - 2);
   }
   else if (__gcd(n, (n - 3)) == 1) {
      cout << n << " " << (n - 1) << " " << (n - 3);
   }
   else {
      cout << (n - 1) << " " << (n - 2) << " " << (n - 3);
   }
}
int main() {
   int number = 34;
   findMaximumLCM(number);
   return 0;
}

Output

34 33 31