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POFinding greatest common divisor (assignment misgraded, I desperately need your help)
 

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    <p>I had an assignment (homework) as follows:</p> <blockquote> <p>Write a program which enters two positive integers a and b from the keyboard. Also write a recursive function for determining the gcd (greatest common divisor) of a and b using Euclid’s algorithm. According to this algorithm if the first number is divisible by the second one then thesecond one is the gcd. If this is not the case then the gcd of the second number and the remainder of a=b has to be determined. The result should be printed on the screen outside of the function.</p> </blockquote> <p>Here is my solution:</p> <pre><code>a=int(input("Enter the first number: ")) b=int(input("Enter the second number: ")) def GCDfinder(m,n): z=abs(m-n) if (m-n)==0: return n else: return GCDfinder(z,min(m,n)) print (GCDfinder(a,b)) </code></pre> <p>I got 50% for this answer. I think the teacher's assistant who graded this does not know about what she does. Her comment is as follows:</p> <blockquote> <p>That is not the method described in the assignment. You should first check if a%b==0 then return b. Or return gcd(b, a%b) Also check that the input is positive and a>b</p> </blockquote> <p>1-) The method that I used was based on Euclid's theorem. <a href="http://en.wikipedia.org/wiki/Euclidean_algorithm" rel="nofollow">http://en.wikipedia.org/wiki/Euclidean_algorithm</a></p> <p>2-) There is absolutely no need to check a>b and there is also no need to check whether the input is positive or not, because I used abs()</p> <p>Didn't TA misgrade the assignment? Or am I wrong?</p>
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    1. CO`the gcd of the second number and the remainder of a=b` <- did you mean `a/b` instead of `a=b`?
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    2. COIt is her comment. It is not something that I wrote. I have no idea about what she is talking. Do you see anything wrong with my code?
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    3. COYou should check if input is positive. Your algorithm will never converge if n is negative.
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