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云计算开发:Python练习实例-求完全平方数
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题目:一个整数,它加上100后是一个完全平方数,云计再加上168又是一个完全平方数,请问该数是多少?
程序分算开析:
假设该数为 x。
1、则:x + 100 = n2, x + 100 +发: 168 = m2
2、计算等式:m2 - n2 = (m + n)(m -Py n) = 168
3、设置: m + n = i,m - n = j,i *th j =168,i 和 j 至少一个是偶数
4、可得: m = (i +on j) / 2, n = (i - j) / 2,i 和 j 要么都是偶数,要么都是练习奇数。
5、从 3 和 4 推导可知道,i 与 j 均是大于等于 2 的实例偶数。
6、由于 i * j = 168, j>=2,则 1 <-求 i < 168 / 2 + 1。
7、接下来将 i 的所有数字循环计算完全即可。
程序源代码:
执行以上代码输出结果为:
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