Coprime number sequence
Two numbers \(a\) and \(b\) are coprime if their Greatest Common Divisor (GCD) is 1. GCD is the largest positive number that divides two given numbers \(a\) and \(b\). For example, the numbers 7 and 9 are coprime because their GCD is 1.
Given two lists list1 and list2, your task is to create a new list coprimes that contains all the coprime pairs from list1 and list2.
But first, you need to write a function for the GCD using the following algorithm:
- check if \(b = 0\)
- if true, return \(a\) as the GCD between \(a\) and \(b\)
- if false, go to step 2
- make a substitution \(a \leftarrow b\) and \(b \leftarrow a \% b\)
- go back to step 1
This exercise is part of the course
Practicing Coding Interview Questions in Python
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
def gcd(a, b):
# Define the while loop as described
while ____:
temp_a = ____
a = ____
b = ____
# Complete the return statement
return ____