美籍华裔物理学家李政道博士曾给中国科技大学少年班的同学,出了一道有趣的数学题:“五只猴子分一堆桃子,怎么分也分不公平,便都睡觉去了.睡至半夜,一只猴子偷偷起来,扔掉一个桃子再分时,正好分成五等份,它把自己那份收藏后,继续睡觉去了.不久,第二只猴子偷偷起来,也扔掉一个桃子再分,又正好分成五等分,它把自己那份收藏后,也继续睡觉去了.以后,第三、第四、第五只猴子都用同样的办法,分别偷偷起来,扔掉一个桃子再分,均能 Dr. Li Zhengdao, a Chinese-American physicist, once gave a class of interesting math to classmates in China University of Science and Technology. ”Five peasants are divided into peaches and how to divide them is unfair and they all go to bed." Sleeping until the middle of the night, a monkey secretly threw up, dropped a peach and then divided, divided into five equal parts, it put their own collection, go to sleep later, the second monkey secretly also throw away Peach subdivision, and just divided into five equal parts, it put their own collection, but also went to sleep later, the third, fourth, fifth monkeys in the same way, respectively, secretly thrown away Peach subdivision, can be