水杯题的非常好的解释 - chkkch - 博客园


水杯题的非常好的解释 - chkkch - 博客园
先看这个题目，再看这个题目的推广。
你有两个杯子，容量分别是a和b，你周围有自来水管（水无限），问能否量出c升水，也就是要求最终两个杯子中的水加起来是c升(c<=a+b)

我们把这个题目变通一下：假设有n个瓶子，每个容量不一，问能否量出c升水来？
同样结论是：n个瓶子的最大公约数为x，则能量出c当且仅当x整除c。
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