# C++ Program to Find the GCD and LCM of n Numbers

C++Server Side ProgrammingProgramming

This is the code to find out the GCD and LCM of n numbers. The GCD or Greatest Common Divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. GCD is also known as Greatest Common Factor.

The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both numbers.

## Algorithm

Begin
Take two numbers as input
Call the function gcd() two find out gcd of n numbers
Call the function lcm() two find out lcm of n numbers
gcd(number1, number2)
Declare r, a, b
Assign r=0
a = (number1 greater than number2)? number1: number2
b = (number1 less than number2)? number1: number2
r = b
While (a mod b not equal to 0)
Do
r = a mod b
a=b
b=r
Return r
Done
lcm(number1, number2)
Declare a
a=(number1 greater than number2)?number1:number2
While(true) do
If
(a mod number1 == 0 and a number2 == 0)
Return a
Increment a
Done
End

## Example Code

#include<iostream>
using namespace std;
int gcd(int m, int n) {
int r = 0, a, b;
a = (m > n) ? m : n;
b = (m < n) ? m : n;
r = b;
while (a % b != 0) {
r = a % b;
a = b;
b = r;
}
return r;
}
int lcm(int m, int n) {
int a;
a = (m > n) ? m: n;
while (true) {
if (a % m == 0 && a % n == 0)
return a;
++a;
}
}
int main(int argc, char **argv) {
cout << "Enter the two numbers: ";
int m, n;
cin >> m >> n;
cout << "The GCD of two numbers is: " << gcd(m, n) << endl;
cout << "The LCM of two numbers is: " << lcm(m, n) << endl;
return 0;
}

## Output

Enter the two numbers:
7
6
The GCD of two numbers is: 1
The LCM of two numbers is: 42