本题来自 Project Euler 第12题:https://projecteuler.net/problem=12 # Project Euler: Problem 12: Highly divisible triangular number # The sequence of triangle numbers is generated by adding the natural numbers. # So the 7th triangle number would be 1 + 2 + 3…

题意: 完全数是指真因数之和等于自身的那些数.例如,28的真因数之和为1 + 2 + 4 + 7 + 14 = 28,因此28是一个完全数. 一个数n被称为亏数,如果它的真因数之和小于n:反之则被称为盈数. 由于12是最小的盈数,它的真因数之和为1 + 2 + 3 + 4 + 6 = 16,所以最小的能够表示成两个盈数之和的数是24.通过数学分析可以得出,所有大于28123的数都可以被写成两个盈数的和:尽管我们知道最大的不能被写成两个盈数的和的数要小于这个值,但这是通过分析所能得到的最好上界.…

[Python练习题 025] 一个5位数,判断它是不是回文数.即12321是回文数,个位与万位相同,十位与千位相同. ----------------------------------------------- 做题做到现在,这种题目已经很轻车熟路了.希望下一题能增加点难度啊~~~ x = input('请输入一个5位数:') if x[0] == x[4] and x[1] == x[3]: print('%s是个回文数' % x) else: print('%s不是回文数' % x) 输…

本题来自 Project Euler 第4题:https://projecteuler.net/problem=4 # Project Euler: Problem 4: Largest palindrome product # A palindromic number reads the same both ways. # The largest palindrome made from the product # of two 2-digit numbers is 9009 = 91 × 9…

开始做 Project Euler 的练习题.网站上总共有565题,真是个大题库啊! # Project Euler, Problem 1: Multiples of 3 and 5 # If we list all the natural numbers below 10 # that are multiples of 3 or 5, we get 3, 5, 6 and 9. # The sum of these multiples is 23. # Find the sum of all…

本题来自 Project Euler 第19题:https://projecteuler.net/problem=19 ''' How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)? Answer: 171 ''' from datetime import * firstDay = date(1901,1,1) lastDay = date(…

本题来自 Project Euler 第11题:https://projecteuler.net/problem=11 # Project Euler: Problem 10: Largest product in a grid # In the 20×20 grid below, four numbers along a diagonal line have been marked in red. # The product of these numbers is 26 × 63 × 78 ×…

本题来自 Project Euler 第5题:https://projecteuler.net/problem=5 # Project Euler: Problem 5: Smallest multiple # 2520 is the smallest number that can be divided by # each of the numbers from 1 to 10 without any remainder. # What is the smallest positive num…

本题来自 Project Euler 第22题:https://projecteuler.net/problem=22 ''' Project Euler: Problem 22: Names scores Using names.txt (right click and 'Save Link/Target As...'), a 46K text file containing over five-thousand first names, begin by sorting it into al…

本题来自 Project Euler 第21题:https://projecteuler.net/problem=21 ''' Project Euler: Problem 21: Amicable numbers Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). If d(a) = b and d(b) = a, where a ≠ b…