Find smallest values of x and y

Given two values ‘a’ and ‘b’ that represent coefficients in “ax – by = 0”, find the smallest values of x and y that satisfy the equation. It may also be assumed that x > 0, y > 0, a > 0 and b > 0.

Example 1:

Input: a = 25, b = 35
Output: 7 5
Explaination: 25*7 - 35*5 = 0. And x = 7 
and y = 5 are the least possible values 
of x and y to get the equation solved.

Example 2:

Input: a = 3, b = 7
Output: 7 3
Explaination: For this case x = 7 and 
y = 3 are the least values of x and y 
to satisfy the equation.

Your Task:
You do not need to read input or print anything. Your task is to complete the function findXY() which takes a and b as input parameters and returns the least possible values of x and y to satisfy the equation.




#code

t = int(input().strip())

while t > 0:

    t -= 1

    

    #l = int(input().strip())

    a, b = (map(int,input().strip().split()))

    g = gcd(a,b)

    print(b//g, a//g)

Comments

Post a Comment

Popular posts from this blog

Large Factorial of array

You are given an array   A   of integers of length   N . You need to calculate factorial of each number. The answer can be very large, so print it modulo   10 9  + 7 .   Example 1: Input: N = 5 A[] = {0, 1, 2, 3, 4} Output: 1 1 2 6 24 Explanation: Factorial of 0 is 1, factorial of 1 is 1, factorial of 2 is 2,  factorial of 3 is 6 and so on. Example 2: Input: N = 3 A[] = {5, 6, 3} Output: 120 720 6 Explanation: Factorial of 5 is 120, factorial of 6 is 720,  factorial of 3 is 6. Your Task: Complete the function  factorial()  which takes   list  a  and single integer  n , as input parameters and returns a list of factorials of the numbers in the list a.
Read more

LEARN SOMMETHING INTRESTING

  Yeah, I love Python one-liners. Let us break it down. input()   This is used to fetch input from the user. In this case. We are expecting the user to provide a list of integers. How do I know? Look next. input().strip()   This will eliminate trailing spaces from the user input, if they are there. Why is it required? Because some users will do that and that might break your program. Remember that input() will cast the input as string. So, now we have a string of integers like so: “1 2 4 42” input.strip().split()   split() is used to create a Python list out of a string. If no delimiter is given, this breaks the string by spaces. So, now we have: [“1”, “2”, “4”, “42”] map(int, input().strip().split())   map() takes two arguments. The first one is the method to apply, the second one is the data to apply it to. By this understanding, we can see this is doing nothing but typecasting every element of the list to an integer value. Since map returns the data type it w...
Read more

Largest Element in Array

  Given an array A[] of size n . The task is to find the largest element in it.   Example 1: Input: n = 5 A[] = {1, 8, 7, 56, 90} Output: 90 Explanation: The largest element of given array is 90.   Example 2: Input:   n = 7 A[] = {1, 2, 0, 3, 2, 4, 5} Output: 5 Explanation: The largest element of given array is 5.    def largest( arr, n):     return max(arr) #{ #  Driver Code Starts #Initial Template for Python 3 def main():     T = int(input())     while(T > 0):         n = int(input())         a = [int(x) for x in input().strip().split()]         print(largest(a, n))         T -= 1 if __name__ == "__main__":     main()    
Read more