Python基础练习题

Python基础练习题

# -*- coding:utf-8 -*-

"""question 1：判断101-200之间有多少个素数，并输出所有素数"""
import math

prime_number = []
for num in range(101,201):
    count = 0
    for divisor in range(2,int(math.sqrt(num))+1)
         if num % divisor == 0:
             count += 1
    if count == 0:
         prime_number.append(num)
print(prime_number)
print("101~200之间的素数共有%d个。"%len(prime_number))

"""question 2：打印出所有的"水仙花数"，所谓"水仙花数"是指一个三位数，其各位数字立方和等于该数本身。例如：153是一个"水仙花数"，因为153=1的三次方＋5的三次方＋3的三次方"""
import math

narcissistic_number = []
for num in range(100,1000):
    hundreds = math.floor(num / 100)
    decade = math.floor((num % 100)/10)
    single = ((num % 100) % 10)
    if num == int(math.pow(hundreds,3) + math.pow(decade,3) + math.pow(single,3)):
        narcissistic_number.append(num)
print(narcissistic_number)

"""question 3：
求s=a+aa+aaa+aaaa+aa...a的值，其中a是一个数字。例如2+22+222+2222+22222(此时共有5个数相加)，几个数相加由键盘控制"""
# 方法1
def special_array(a,n):
    li = []
    for i in range(1,n+1):
        b = a*i
        s = int(b)
        li.append(s)
    print(li)
    sum = 0
    for i in range(n):
        sum = sum + li[i]
    print(sum)

num = input("请输入一个1~9之间的数字字符：")
if (num>='a') & (num<='z'):
    print("您输入的字符超出数字字符范围，请重新输入")
else:
    count = int(input("请输入一个数值："))
    special_array(num,count)

# 方法2
def special_array(a,n):
    Sn = 0
    Tn = 0
    li = []
    for i in range(n):
        Tn = Tn + a
        a = a * 10
        li.append(Tn)
    print(li)
    for i in range(n):
        Sn += li[i]
    print(Sn)

num = int(input("请输入一个1~9之间的数字字符："))
count = int(input("请输入一个数值："))
special_array(num,count)

"""question 4：一个数如果恰好等于它的因子之和，这个数就称为"完数"。例如6=1＋2＋3.编程找出1000以内的所有完数"""
import math

perfect_number = []
for num in range(3,1000):
    sum = 1
    factor = []
    for divisor in range(2,int(math.sqrt(num))+1):
        if num % divisor == 0:
            quotient = int(num/divisor)
            factor.append(divisor)
            factor.append(quotient)
    for i in factor:
        sum += i
    if sum == num:
        perfect_number.append(num)
print(perfect_number)