Showing posts with label euclid. Show all posts
Showing posts with label euclid. Show all posts

Monday, March 12, 2012

GCD


Here is another simple program of greatest common divisor (GCD) implementation -

Euclid's Algorithm:

while m is greater than zero:
   If n is greater than m, swap m and n.
   Subtract n from m.
n is the GCD

Simple python code :)

import sys

line = sys.stdin.readline()
[n,m] = line.split(None)
n = int(n)
m = int(m)

def gcd(n,m):
    while(m > 0):
        if(n > m):
            t = m
            m = n
            n = t
        m = m - n
    print n

gcd(n,m)

Sample Input/Output

$ python gcd.py
6 15
3
$ python gcd.py
17 8
1
$ python gcd.py
27 9
9