Count Integral Points
Medium Accuracy: 11.77% Submissions: 17 Points: 4

Given two points p (x1, y1) and q (x2, y2), Calculate the number of integral points lying on the line joining them.
Note: You are given the 4 points x1, y1, x2, y2 as Input.

 

Example 1:

Input:
x1 = 2, y1 = 2, x2 = 5, y2 = 5
Output:
2
Explanation:
There are only 2 integral points on the
line joining (2,2) and (5,5).
The points are (3,3) and (4,4).

Example 2:

Input:
x1 = 1, y1 = 9, x2 = 8, y2 = 16
Output:
6
Explanation:
There are 6 integral points on the
line joining (1,9) and (8,16).

 

 

Your Task:
You don't need to read input or print anything. Your task is to complete the function countIntegralPoints() which takes 4 Integers x1,y1,x2 and y2 as input and returns the answer.

 

Expected Time Complexity: O(log(max(x1,x2,y1,y2)))
Expected Auxiliary Space: O(1)

 

Constraints:
1 <= x1,x2,y1,y2 <= 108

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