While loop stops with one condition being true

[Arquon]

Hi, I am trying to find a common denominator, but my while loop stops with just one conditiong being true, instead of 3. What am I doing wrong ?

#include <iostream>
using namespace std;
int main(){
    int a12=12, a15=15, a18=18, i=1;
    while(i%a12!=0 && i%a15!=0 && i%a18!=0)
    {
        i++;
        cout << i%a12 << " " << i%a15 << " " << i%a18 << endl; // results in : 0 12 12
    }
    return 0;
}

[helios]

Your loop will execute as long as ALL inequalities are met. In other words, as soon as ANY of those inequalities become an equality. Therefore, your loop finds the smallest i that's divisible by ANY of {12, 15, 18}.
If you want to find the smallest i that's divisible by ALL of {12, 15, 18}, the loop should continue executing as long as ANY of the inequalities are true.

In other words, replace the && with ||.

[Arquon]

Needed some time to figure out why it was supposed to be || instead of &&, but now its clear. Thank you !