數學題-三個正方形的面積差 - 拼圖
By Ingrid
at 2008-09-10T14:27
at 2008-09-10T14:27
Table of Contents
昨天想到這個問題
2 2 2 2
求(a,b,c) 100>a>b>c>0 使得 a - b = b - c 有幾組 且GCD(a,b,c)=1
湊了很久...
Ans : 12組
( 7, 5, 1) (17,13, 7) (23,17, 7) (31,25, 7) (41,29, 1) (47,37,23)
(49,41,31) (71,61,49) (73,53,17) (79,65,47) (89,65,23) (97,85,71)
話說
Excel 的 D1=GCD(A1,B1,C1) 有別的方法代替GCD嗎
--
2 2 2 2
求(a,b,c) 100>a>b>c>0 使得 a - b = b - c 有幾組 且GCD(a,b,c)=1
湊了很久...
Ans : 12組
( 7, 5, 1) (17,13, 7) (23,17, 7) (31,25, 7) (41,29, 1) (47,37,23)
(49,41,31) (71,61,49) (73,53,17) (79,65,47) (89,65,23) (97,85,71)
話說
Excel 的 D1=GCD(A1,B1,C1) 有別的方法代替GCD嗎
--
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