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April 16, 2014 17:38
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| #euclid recurtion | |
| def ebob(a, b): | |
| if b == 0: | |
| return a | |
| else: | |
| return ebob(b, a % b) | |
| print ebob(120, 54) | |
| #euclid iteration | |
| def ebob2(a, b): | |
| while(b != 0): | |
| t = a | |
| a = b | |
| b = t % b | |
| return a | |
| print ebob2(1201, 534) | |
| # binary ebob | |
| def ebob3(a, b): | |
| g = 1 | |
| x = a | |
| y = b | |
| while(x % 2 == 0 and y % 2 == 0): | |
| x = x / 2 | |
| y = y / 2 | |
| g = 2 * g | |
| while(a != 0): | |
| while(a % 2 == 0): | |
| a = a / 2 | |
| while(b % 2 == 0): | |
| b = b / 2 | |
| t = (a - b) / 2 | |
| if (t < 0): | |
| t = t - 2 * t | |
| if (a >= b): | |
| a = t | |
| else: | |
| b = t | |
| return g * b | |
| print ebob3(12, 546) |
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