单词 | euclidean algorithm |
释义 | Euclidean Algorithm A special way to find the greatest common factor of two integers. With the larger number in 1st spot: • divide the 1st number by the 2nd number. Note down the remainder. • move the 2nd number into 1st spot, and put the remainder from the previous step in 2nd spot • repeat until the remainder is zero The last non-zero remainder is the greatest common factor Example: 112 and 42 divide 112 by 42. We get 2 with a remainder of 28 divide 42 by 28. We get 1 with a remainder of 14 divide 28 by 14. We get 2 with a remainder of 0 The last non-zero remainder is 14, so the greatest common factor of 112 and 42 is 14 In JavaScript: function gcf(a, b) { while (b != 0) { t = b; b = a % b; a = t; } return a;} See: Greatest Common Factor |
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