欧拉计划(python) problem 1

problem 1

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 the multiples of 3 or 5 below 1000.

python code:

k3=0;

k5=0;

result=0;

for i in range(1,1000):

k3=k3+1

k5=k5+1

if k3%3==0:

k3=0

result+=i

continue

if k5%5==0:

k5=0

result+=i

continue

print(result)

输出结果: 233168

大概用时:小于1s

时间: 2024-11-03 22:05:00

欧拉计划(python) problem 1的相关文章

欧拉计划(python) problem 5

Smallest multiple Problem 5 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 number that is evenly divisible by all of the numbers from 1 to 20? python code : imp

欧拉计划(python) problem 7

10001st prime Problem 7 By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the 10 001st prime number? python code : import math sqrt=math.sqrt def func(x): k=int(sqrt(x))+1 for i in range(2,k)

欧拉计划(python) problem 8

Largest product in a series Problem 8 The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832. 73167176531330624919225119674426574742355349194934 96983520312774506326239578318016984801869478851843 858

欧拉计划(python) problem 26

Reciprocal cycles Problem 26 A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given: 1/2 =  0.5 1/3 =  0.(3) 1/4 =  0.25 1/5 =  0.2 1/6 =  0.1(6) 1/7 =  0.(142857) 1/8 =  0.12

欧拉计划(python) problem 27

Quadratic primes Problem 27 Euler discovered the remarkable quadratic formula: n2 + n + 41 It turns out that the formula will produce 40 primes for the consecutive values n = 0 to 39. However, when n = 40, 402 + 40 + 41 = 40(40 + 1) + 41 is divisible

欧拉计划(python) problem 29

Distinct powers Problem 29 Consider all integer combinations of ab for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5: 22=4, 23=8, 24=16, 25=32 32=9, 33=27, 34=81, 35=243 42=16, 43=64, 44=256, 45=1024 52=25, 53=125, 54=625, 55=3125 If they are then placed in numerical orde

欧拉计划(python) problem 22

Names scores Problem 22 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 alphabetical order. Then working out the alphabetical value for each name, multipl

欧拉计划(python) problem 3

Problem 3 The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ? python code: import math sqrt=math.sqrt def func(x): m=int(sqrt(x)+1) for i in range(2,m): if x%i==0: return 0 return 1 num=600851

欧拉计划(python) problem 17

Number letter counts Problem 17 If the numbers 1 to 5 are written out in words: one, two, three, four, five, then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total. If all the numbers from 1 to 1000 (one thousand) inclusive were written out in w