Miroirs/TheAlgorithms-Ruby
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/Ruby synced 2024-12-26 21:58:56 +01:00
Code Issues Projects Releases Packages Wiki Activity Actions

extended_euclidean_algorithm.rb

Browse source
This commit is contained in:
Abhinav Anand 2021-01-22 13:38:45 +05:30 committed by GitHub
parent ca83061afe
commit a3e9ee2ece
No known key found for this signature in database
GPG key ID: 4AEE18F83AFDEB23
1 changed files with 31 additions and 0 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

31
discrete_mathematics/exteded_euclidean_algorithm.rb Normal file
View file

@ -0,0 +1,31 @@
# https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm
def extended_euclidean_gcd(a, b)
x0, x1 = a, b
s, t = 1, 0
until x1.zero?
q, x2 = x0.divmod(x1)
x0, x1 = x1, x2
s, t = t, s - q * t
end
gcd = x0
return gcd
end
puts "GCD(3, 5) = " + extended_euclidean_gcd(3, 5).to_s
# GCD(3, 6) = 3
puts "GCD(3, 6) = " + extended_euclidean_gcd(3, 6).to_s
# GCD(3, 6) = 3
puts "GCD(6, 3) = " + extended_euclidean_gcd(6, 3).to_s
# GCD(6, 3) = 3
=begin
Dynamic driver code:
a = gets.to_i
b = gets.to_i
puts "GCD (#{a}, #{b} ) = #{extended_euclidean_gcd(a, b)}"
=end