- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Program to count minimum number of operations required to make numbers non coprime in Python?

Suppose we have two numbers A and B. Now in each operation, we can select any one of the number and increment it by 1 or decrement it by 1. We have to find the minimum number of operations we need such that the greatest common divisor between A and B is not 1.

So, if the input is like A = 8, B = 9, then the output will be 1, as we can select 9 then increase it to 10, so 8 and 10 are not coprime.

To solve this, we will follow these steps:

if gcd of a and b is not same as 1, then

return 0

if a is even or b is even, then

return 1

otherwise,

if gcd of a + 1 and b is not same as 1 or gcd of a - 1 and b is not same as 1 or gcd of a and b - 1 is not same as 1 or gcd of a and b + 1 is not same as 1, then

return 1

otherwise,

return 2

Let us see the following implementation to get better understanding

## Example

from math import gcd class Solution: def solve(self, a, b): if gcd(a, b) != 1: return 0 if a % 2 == 0 or b % 2 == 0: return 1 else: if (gcd(a + 1, b) != 1 or gcd(a - 1, b) != 1 or gcd(a, b - 1) != 1 or gcd(a, b + 1) != 1): return 1 else: return 2 ob = Solution() A = 8 B = 9 print(ob.solve(A, B))

## Input

8,9

## Output

1

- Related Questions & Answers
- Program to find minimum number of operations required to make one number to another in Python
- Program to find minimum number of operations required to make lists strictly Increasing in python
- Program to count number of minimum swaps required to make it palindrome in Python
- Program to count minimum number of operations to flip columns to make target in Python
- Program to find minimum number of operations required to make one string substring of other in Python
- C++ program to count minimum number of operations needed to make number n to 1
- Minimum number of given operations required to make two strings equal using C++.
- Program to find minimum number of operations to make string sorted in Python
- Count the number of carry operations required to add two numbers in C++
- Number of operations required to make all array elements Equal in Python
- Program to count number of operations required to all cells into same color in Python
- Program to count number of operations required to convert all values into same in Python?
- Program to count number of flipping required to make all x before y in Python
- Program to find minimum number of bricks required to make k towers of same height in Python
- Minimum operations required to make all the array elements equal in C++