Beginner
1. Binary Search2. Linear Search3. Fibonacci Search4. Bubble Sort5. Insertion Sort6. Selection Sort7. Quick Sort8. Merge Sort9. Addition of two matrixes10. Subtraction of two matrixes11. Multiplication of two matrixes12. Transpose of given Matrix13. EUCLIDIAN GCD ALGORITHM14. Fabinocci Numbers with matrix multiplication15. Fast Exponential16. Modular inversion17. Prime seiving18. Heap(using array)19. Heapify20. Heap Sort21. Linear Probing22. Open Addressing23. Collision Avoidance24. Binary Search Tree Traversal Techniques25. Finding Kth Largest Element in Binary Tree26. Diameter of a Binary search tree27. Depth of Binary Tree28. Number of Nodes in BST29. Convert Array to Binary Tree30. Convert Array to General Tree31. Lowest Common AncestorEUCLIDIAN GCD ALGORITHM
LEVEL:Beginner
Description
Given two Integers. Find the GCD of the integers using Euclidian GCD Algorithm.
Input Format
2 integers separated by spaces.
Output Format
Print the Greatest Common Divisor.
Example 1:
Input
20 30
Output
5
Example 2:
Input
21 31
Output
1
Example 3:
Input
788 488
Output
4
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Approach
Step-i) Let a, b be the two numbers
Step-ii) a mod b = R
Step-iii) Let a = b and b = R
Step-iv) Repeat Steps 2 and 3 until a mod b is greater than 0
Step-v) GCD = b
Time Complexity: O(log n)
Space Complexity: O(1)
Note :
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