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(defn gcd
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"(gcd a b) computes the greatest common divisor of a and b."
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[a b]
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(if (zero? b)
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a
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(recur b (mod a b))))
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(defn gcd*
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"greatest common divisor of a list of numbers"
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[& lst]
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(reduce gcd
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lst))
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(defn stein-gcd [a b]
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(cond
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(zero? a) b
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(zero? b) a
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(and (even? a) (even? b)) (* 2 (stein-gcd (unsigned-bit-shift-right a 1) (unsigned-bit-shift-right b 1)))
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(and (even? a) (odd? b)) (recur (unsigned-bit-shift-right a 1) b)
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(and (odd? a) (even? b)) (recur a (unsigned-bit-shift-right b 1))
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(and (odd? a) (odd? b)) (recur (unsigned-bit-shift-right (Math/abs (- a b)) 1) (min a b))))
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