24 lines
524 B
Python
24 lines
524 B
Python
#EUCLIDS ALGORITHM
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def gcd(a, b):
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if a<0:
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a = -a
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if b<0:
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b = -b
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if b==0:
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return a
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else:
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return gcd(b, a%b)
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#TIME COMPLEXITY - O(log(min(a, b)))
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#EXAMPLES
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#print(gcd(10, 2)) -> 2
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#print(gcd(30, 15)) -> 3
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#print(gcd(-30, 15)) -> 3
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#WORKING
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#We are using the Euclidean Algorithm to calculate the GCD of a number
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#it states that if a and b are two positive integers then GCD or greatest common
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#divisors of these two numbers will be equal to the GCD of b and a%b or
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#gcd(a, b) = gcd(b, a%b) till b reaches 0
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