Question: PROGRAM SHOULD BE IN JAVA Input: Two integers a and b not both of them zero. Output: The GCD of a and b and integers

PROGRAM SHOULD BE IN JAVA

Input: Two integers "a" and "b" not both of them zero.

Output: The GCD of "a" and "b" and integers "s" and "t" such that

gcd(a,b)=a*s +b*t

1) Use the Extended Euclidean Algorithm.

2) Your program should work for negative numbers (Take the absolute value of inputs).

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