What is the time complexity of the Euclidean Algorithm? Also please upvote im really down bad with the downvotes and i want to return to positive contribution. Edit: When i meant the contribution i was hoping to get massivly downvoted.
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При поддержке
$$$gcd(a, b)$$$ works in $$$log(a) + log(b)$$$ time
I see my comment got downvoted:( Can somebody please explain why it is $$$log(min(a, b))$$$? I always thought that every step one of the variables is decreased at least two times. Why am I wrong?
Short answer:
log(min(a, b)).Long answer: Stack Overflow my beloved There are multiple explanations for why the time complexity may or may not be something. The case when A and B are very large numbers is also tackled. Really cool!
Euclidean algorithm's time complexity is often denoted as
O(log(min(a,b))).Auto comment: topic has been updated by Duelist1234 (previous revision, new revision, compare).