读程序,总结程序的功能:
numbers=1
for i in range(0,20):
numbers*=2
print(numbers)
功能:计算(2的20次方),并打印对应的值
summation=0
num=1
while num<=100:
if (num%3==0 or num%7==0) and num%21!=0:
summation += 1
num+=1
print(summation)
功能:打印1到100中能被3或者能被7整除,但是不能同时被3和7整除的数的个数
编程实现(for和while各写一遍):
- 求1到100之间所有数的和、平均值
for循环
sum1 = 0
average = 0
for a in range(1,101):
sum1 += a
average = sum1/100
print(sum1)
print(average)
结论:
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while循环
sum1 = 0
average = 0
x = 100
while x:
sum1 += x
x -= 1
average = sum1/100
print(sum1)
print(average)
结论:
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- 计算1-100之间能3整除的数的和
for循环
sum1 = 0
for x in range(1,101):
if x%3==0:
sum1 += x
print(sum1)
结论:
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while循环
sum1 = 0
x = 100
while x :
x -= 1
if x%3==0:
sum1 += x
print(sum1)
结论:
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- 计算1-100之间不能被7整除的数的和
for循环
sum1 = 0
x = 100
for x in range(1,101):
if x%7!=0:
sum1 += x
print(sum1)
结论:
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while循环
sum1 = 0
x = 100
while x :
if x%7!=0:
sum1 += x
x -= 1
print(sum1)
结论:
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- 求斐波那契数列中第n个数的值: 1, 1, 2, 3, 5, 8, 13, 21, 34....
(多利用一个变量)
n = int(input())
n1 = 1
n2 = 1
s = 0
if n == 1 or n == 2 :
s = 1
else:
for _ in range(1,n-1):
s = n1 + n2
n1 = n2
n2 = s
print(s)
结论:
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- 判断101-200之间有多少个素数,并输出所有素数。判断素数的方法:用一个数分别除2到sqrt(这个
数),如果能被整除,则表明此数不是素数,反之是素数
(方法总结:只判断奇数,只判断到数的开方,只有素数和非素数可以利用else,可以判断数能被整除数的个数)
count = 0
i = 200
while i>100:
for j in range(2,i):
if i%j == 0:
break
else:
if j==i-1:
count += 1
print(i,end='\t')
else:
continue
i -= 1
print('101到200之间有%d个素数'%count)
结论:
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- 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 = 1^3 + 5^3 + 3^3
for i in range(100,1000):
a = i%10
b = i%100//10
c = i//100
if i==a**3+b**3+c**3:
print(i)
结论:
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- 有一分数序列: 2/1,3/2,5/3,8/5,13/8,21/13...求出这个数列的第20个分数
分子:上一个分数的分子加分母 分母: 上一个分数的分子 fz = 2 fm = 1 fz+fm / fz
n = int(input())
num1 = 2
num2 = 3
s = 0
fz = 2
for _ in range(1,n-1):
s = num1 + num2
num1 = num2
fz = num2
num2 = s
print('%d/%d'%(s,fz))
结论:
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- 给一个正整数,要求: 1、求它是几位数 2.逆序打印出各位数字
(可以先转成字符串)
a = int(input())
for i in range(1,a):
if 0 < a//10**(i-1) < 10:
print('a是一个%d位数'%i)
for j in range(1,i+1):
n1 = a % 10**j//10**(j-1)
print(n1)
结论:
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1.控制台输入年龄,根据年龄输出不同的提示(例如:老年人,青壮年,成年人,未成年,儿童)
n = int(input('请输入您的年龄:'))
if n <= 0:
print('在娘胎礼')
elif n < 6:
print('是儿童')
elif n < 18:
print('未成年')
elif n < 30:
print('成年人')
elif n < 60:
print('青壮年')
else:
print('老年人')
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2.计算5的阶乘 5!的结果是
n = 5
mul = 1
while n :
mul *= n
n -= 1
print('5!=%d'%mul)
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3.求1+2!+3!+...+20!的和 1.程序分析:此程序只是把累加变成了累乘
m = 20
sum1 = 0
while m:
n = m
mul = 1
while n :
mul *= n
n -= 1
sum1 += mul
m -= 1
print('1+2!+3!+...+20!=%d'%sum1)
结论:
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4.计算 1+1/2!+1/3!+1/4!+...1/20!=?
m = 20
sum1 = 0
while m:
n = m
mul = 1
while n :
mul *= n
n -= 1
sum1 += 1/mul
m -= 1
print('1+1/2!+1/3!+...+1/20!=%f'%sum1)
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5.循环输入大于0的数字进行累加,直到输入的数字为0,就结束循环,并最后输出累加的结果。
input1 = float(input('请输入数字:'))
sum1 = 0
while input1 :
sum1 += input1
input1 = float(input('请输入数字:'))
print('累加的结果:%f'%sum1)
结果:
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6.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),几个数相加有键盘控制。 1.程序分析:关键是计算出每一项的值。
n = int(input('请输入一个数字:'))
s = 0
a = 3
for i in range(1,n+1):
m = i
sum1 = 0
for j in range(0,m):
sum1 += 3 * 10 ** j
s += sum1
print('%d个数相加结果为:%d'%(n,s))
结论:
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)
7.输入三个整数x,y,z,请把这三个数由小到大输出。
n1 = int(input('请输入一个整数:'))
n2 = int(input('请输入一个整数:'))
n3 = int(input('请输入一个整数:'))
max = 0
if n1 > n2 :
if n1 > n3:
max = n1
else:
max = n3
else:
if n2 > n3:
max = n2
else:
max = n3
print('最大的数是:%d'%max)
结论:
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8.控制台输出三角形
a.根据n的值的不同,输出相应的形状
n = 5时 n = 4
***** ****
**** ***
*** **
** *
*
n = int(input('请输入一个正整数n=:'))
while n:
str1 = '*'*n
print('%s'%str1)
n -= 1
结论:
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b.根据n的值的不同,输出相应的形状(n为奇数)
n = 5 n = 7
* *
*** ***
***** *****
*******
n = int(input('请输入一个奇数n=:'))
for i in range(1,n+1,2):
str1 = '*'*i
print(str1.center((n+2),' '))
结论:
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9.输出9*9口诀。 1.程序分析:分行与列考虑,共9行9列,i控制行,j控制列。
mul = 1
for j in range(1,10):
for i in range(1,10):
mul = i*j
if i <= j:
print('%dX%d=%d'%(i,j,mul),end='\t')
print()
结论:
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10.这是经典的"百马百担"问题,有一百匹马,驮一百担货,大马驮3担,中马驮2担,两只小马驮1担,问有大,中,小马各几匹?
for big in range(0,100):
for med in range(0, 100):
for small in range(0,100):
if (big + med + small == 100) and \
(3*big + 2*med + 0.5*small == 100)and
(small & 1 == 0):
print(big,med,small)
结论:
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11.我国古代数学家张邱建在《算经》中出了一道“百钱买百鸡”的问题,题意是这样的: 5文钱可以买一只公鸡,3文钱可以买一只母鸡,1文钱可以买3只雏鸡。现在用100文钱买100只鸡,那么各有公鸡、母鸡、雏鸡多少只?请编写程序实现
for gongji in range(0,100):
for muji in range(0, 100):
for zhouji in range(0,100):
if (gongji + muji + zhouji == 100) and \
(5*gongji + 3*muji + zhouji/3 == 100)and
(zhouji % 3 == 0):
print('公鸡=%d只,母鸡=%d只,邹鸡=%d
只'%(gongji,muji,zhouji))
结论:

12.小明单位发了100元的购物卡,小明到超市买三类洗化用品,洗发水(15元),香皂(2元),牙刷(5元)。要把100元整好花掉,可如有哪些购买结合?
for liquid in range(0,100):
for soap in range(0, 100):
for tooth in range(0,100):
if 15*liquid + 2*soap + 5*tooth == 100:
print('洗发水=%d瓶,香皂=%d个,牙刷=%d个'%(liquid,soap,tooth))
结论:
C:\Users\Administrator\AppData\Local\Programs\Python\Python36-32\python.exe D:/python工程/day5/分支和循环/06-作业.py
洗发水=0瓶,香皂=0个,牙刷=20个
洗发水=0瓶,香皂=5个,牙刷=18个
洗发水=0瓶,香皂=10个,牙刷=16个
洗发水=0瓶,香皂=15个,牙刷=14个
洗发水=0瓶,香皂=20个,牙刷=12个
洗发水=0瓶,香皂=25个,牙刷=10个
洗发水=0瓶,香皂=30个,牙刷=8个
洗发水=0瓶,香皂=35个,牙刷=6个
洗发水=0瓶,香皂=40个,牙刷=4个
洗发水=0瓶,香皂=45个,牙刷=2个
洗发水=0瓶,香皂=50个,牙刷=0个
洗发水=1瓶,香皂=0个,牙刷=17个
洗发水=1瓶,香皂=5个,牙刷=15个
洗发水=1瓶,香皂=10个,牙刷=13个
洗发水=1瓶,香皂=15个,牙刷=11个
洗发水=1瓶,香皂=20个,牙刷=9个
洗发水=1瓶,香皂=25个,牙刷=7个
洗发水=1瓶,香皂=30个,牙刷=5个
洗发水=1瓶,香皂=35个,牙刷=3个
洗发水=1瓶,香皂=40个,牙刷=1个
洗发水=2瓶,香皂=0个,牙刷=14个
洗发水=2瓶,香皂=5个,牙刷=12个
洗发水=2瓶,香皂=10个,牙刷=10个
洗发水=2瓶,香皂=15个,牙刷=8个
洗发水=2瓶,香皂=20个,牙刷=6个
洗发水=2瓶,香皂=25个,牙刷=4个
洗发水=2瓶,香皂=30个,牙刷=2个
洗发水=2瓶,香皂=35个,牙刷=0个
洗发水=3瓶,香皂=0个,牙刷=11个
洗发水=3瓶,香皂=5个,牙刷=9个
洗发水=3瓶,香皂=10个,牙刷=7个
洗发水=3瓶,香皂=15个,牙刷=5个
洗发水=3瓶,香皂=20个,牙刷=3个
洗发水=3瓶,香皂=25个,牙刷=1个
洗发水=4瓶,香皂=0个,牙刷=8个
洗发水=4瓶,香皂=5个,牙刷=6个
洗发水=4瓶,香皂=10个,牙刷=4个
洗发水=4瓶,香皂=15个,牙刷=2个
洗发水=4瓶,香皂=20个,牙刷=0个
洗发水=5瓶,香皂=0个,牙刷=5个
洗发水=5瓶,香皂=5个,牙刷=3个
洗发水=5瓶,香皂=10个,牙刷=1个
洗发水=6瓶,香皂=0个,牙刷=2个
洗发水=6瓶,香皂=5个,牙刷=0个
Process finished with exit code 0
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