“更相减损术”不是求最大公因数的算法

Decreases Technique,not the Algorithm of Asking for the Maximum Common Divisor

人民教育出版社出版的普通高中课程标准实验教科书《数学③》(必修)指出《九章算术》中的“更相减损术”是求两个数的最大公约数的算法,其实“更相减损术”是将一个分数化简为既约分数的算法。

The ordinary high school curriculum standard experiment textbook《Maths③》(compulsory)edited by the people's educational publishing house points out“decreases technique”of《Nine chapters on Mathematical art》is the algorithm of asking for the maximum common divisors.Actually“decreases technique”is to Simplify a score for the algorithm which has already reduced a fraction.