[中译] Puzzleup 2018 (9) ABUNDANT NUMBER

楼主: buffalobill (水牛比尔)   2018-09-27 11:53:34
题目网址: http://www.puzzleup.com/2018/
http://www.puzzleup.com/2018/puzzle/?9
答题时限: 9月27日7PM-比赛结束(约12月12日)
加分时限: 9月27日7PM-10月3日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分      
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)  
◆ABUNDANT NUMBER
An abundant number is a positive integer for which the sum of its proper
divisors (positive divisors different than the number) exceeds the number
itself. For example, 18 is an abundant number (18<1+2+3+6+9).
How many consecutive positive integers must be selected at minimum, in
order to guarantee that at least one of the selected numbers is abundant?
所谓过剩数为一正整数,其真因子(与该数不同之正因子)总和超过该数本身者。
举例来说,18便是个过剩数(18<1+2+3+6+9)。
问至少要连续取多少正整数,才能保证其中必有过剩数?

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