Question

How to calculate the LCM (Least Common Multiple) of 3 numbers in C++

Answer 1

#include <iostream>

int max(int a, int b, int c) {
    int max = a;
     
    if (b > max)
        max = b;
    if (c > max)
        max = c;
 
    return max;
}
int getLMC(int a, int b, int c) {
    int lmc = max(a, b, c);
          
    while(1) {
        if (lmc % a == 0 && lmc % b == 0 && lmc % c == 0) {
            return lmc;
        }
        lmc++;
    }
}
 
int main(void) {
    int a = 12, b = 15, c = 40;
     
    std::cout << "The LCM (Least Common Multiple) is: " << getLMC(a, b, c);
}
 
 
 
 
 
/*
run:
   
The LCM (Least Common Multiple) is: 120
   
*/

 

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Answer 2

#include <iostream>

int getLMC(int a, int b) {
    int lmc = (a > b) ? a : b;
          
    while(true) {
        if (lmc % a == 0 && lmc % b == 0) {
            return lmc;
        }
        lmc++;
    }
}

 
int main(void) {
    int a = 12, b = 15, c = 40;
     
    std::cout << "The LCM (Least Common Multiple) is: " << getLMC(getLMC(a, b), c);
}
 
 
 
 
 
/*
run:
   
The LCM (Least Common Multiple) is: 120
   
*/

 

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