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数学疑问?

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发表于 2010-10-2 10:24:37 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
1.The greatest common divisor of a and b is 21, and the least common multiple of a and b is 126, where a and b are positive integers, what is the sum of a and b?

A. 105
B. 147
C.150
D.105or 147
E.105or 150

答案选D,怎么做出来的呢?
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沙发
发表于 2010-10-2 10:33:22 | 只看该作者
數學疑問?
1.The greatest common divisor of a and b is 21, and the least common multiple of a and b is 126, where a and b are positive integers, what is the sum of a and b?

A. 105
B. 147
C.150
D.105or 147
E.105or 150



21=3*7
126=2*3^(2)*7
A,B均含3*7
為滿足the least common multiple of a and b is 126
A, B可為3*7*2, 3*7*3 或是3*7, 2*3^(2)*7


解釋的不太好....
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