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Extended Euclidean Algorithm

Cheryl Scodario
Ranch Hand

Joined: Nov 28, 2009
Posts: 69
Hi all, I am doing an encryption program, and need to find the x and y in this formula: gcd(a,b)=a*x+b*y;
I know the idea is to follow the steps of the actual Euclidean algorithm, and then just doing everything backwards, but I don't know how to put that in code.
One thing to note, gcd (a, b) will be 1 in my case, because a and b are coprime. so basically we are looking at 1=a*x+b*y and find x and y.
Please give me some hints!

Thanks.
Paul Clapham
Bartender

Joined: Oct 14, 2005
Posts: 18650
    
    8

Then first explain in words how to do it. The second step would be to change those words into code.
 
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subject: Extended Euclidean Algorithm