Python 查找范围内可以被7整除且是5的倍数的数字程序

一个数字的倍数也能被同样的数字整除。如果一个数字M是数字n的倍数，那么当我们用n除以M时，余数必须是零。为了在给定范围内生成数字n的倍数，我们可以多次添加n并检查生成的数字是否在给定范围内。另一种生成给定范围内数字n的倍数的方法是找到给定范围内的第一个倍数，然后找到与之相乘得到该倍数的数字q的值。然后将q增加1，并将n与之相乘，直至得到给定范围内的所有倍数。

示例1 -使用余数为零的方法在给定范围内查找可以被7整除且是5的倍数的数字

步骤

步骤1： 指定范围内的最小和最大数。

步骤2： 如果被7整除的数字在此范围内的余数为零，则选择此数字。打印出该数字。

步骤3： 如果被5整除的数字在此范围内的余数为零，则选择此数字。打印出该数字。

步骤4： 还要打印出那些同时遵循步骤2和步骤3规则的数字。

步骤5: 运行程序并检查结果。

Python文件包含如下内容：

lowNum=50
highNum=100

print("\nIn the given range from ", lowNum, " to", highNum, " :")
for item in range(lowNum, highNum):
   if (item % 7 == 0):
      print("This number ", item, "is divisible by 7")

print("\nIn the given range from ", lowNum, " to", highNum, " :")
for item in range(lowNum, highNum):
   if (item % 5 == 0):
      print("This number ", item, " is multiple of 5")        

print("\nIn the given range from ", lowNum, " to", highNum, " :")
for item in range(lowNum, highNum):
   if (item % 7 == 0) and (item % 5 == 0):
      print("This number ", item, "is divisible by 7 and also a multiple of 5")

结果

要查看结果，请在命令行窗口中运行Python文件。

In the given range from  50  to 100  :
This number  56 is divisible by 7
This number  63 is divisible by 7
This number  70 is divisible by 7
This number  77 is divisible by 7
This number  84 is divisible by 7
This number  91 is divisible by 7
This number  98 is divisible by 7

In the given range from  50  to 100  :
This number  50  is multiple of 5
This number  55  is multiple of 5
This number  60  is multiple of 5
This number  65  is multiple of 5
This number  70  is multiple of 5
This number  75  is multiple of 5
This number  80  is multiple of 5
This number  85  is multiple of 5
This number  90  is multiple of 5
This number  95  is multiple of 5

In the given range from  50  to 100  :
This number  70 is divisible by 7 and also a multiple of 5

图1：显示在命令窗口中的结果。

示例2：利用加法方法在给定范围内找到7的倍数和5的倍数的数字

步骤

第一步 − 指定范围内的最小和最大数字。

第二步 − 首先确定范围内第一个能被7整除的最小数字。不断将7加到它上面，直到找到范围内最大的这样的数字。打印这些数字。

第三步 − 首先找到范围内第一个是5的倍数的最小数字。不断将5加到它上面，直到找到范围内最大的这样的数字。打印这些数字。

第四步 − 同时打印出满足第二步和第三步规则的数字，通过找到两个列表中的共同元素。

第五步 − 执行程序，然后验证结果。

Python文件包含以下内容

list1=[]
list2=[]

lowNum=200
highNum=300

tobeadded=7 - (lowNum % 7)
startNum= lowNum + tobeadded

for item in range(lowNum, highNum):
   if item==startNum:
      list1.append(startNum)
      startNum += 7

tobeadded1= 5 - (lowNum % 5)
startNum1= lowNum + tobeadded1

for item in range(lowNum, highNum):
   if item==startNum1:
      list2.append(startNum1)
      startNum1 += 5        

print("In the given range from ", lowNum, " to", highNum, " :")
print("\nThe following numbers are divisible by 7 :")
print(list1)

print("\nThe following numbers are multiple of 5 :")
print(list2)

inbothlists = [ele for ele in list1 if ele in list2]
print("\nIn the given range from ", lowNum, " to", highNum, " :")
print("These numbers ", inbothlists, "are divisible by 7 and also a multiple of 5")

结果

打开命令提示窗口并运行Python文件以查看结果。

D:\articles\pythonarticles\rangedivby7mulby5>py main1.py
In the given range from  200  to 300  :

The following numbers are divisible by 7 :
[203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294]

The following numbers are multiple of 5 :
[205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295]

In the given range from  200  to 300  :
These numbers  [210, 245, 280] are divisible by 7 and also a multiple of 5

图2：以列表形式显示的结果。

示例3：使用乘法方法在给定范围内找到可被7整除且是5的倍数的数

步骤

步骤1 − 设置范围内的最小和最大数。

步骤2 − 首先，确定在范围内可被7整除的最小数。如果它是第q个7的倍数，就将q增加1，并继续找到7*q，直到找到该范围内的最大数。打印这些数字。

步骤3 − 然后找到范围内最小的5的倍数。如果它是第q个5的倍数，就将q增加1，并继续找到5*q，直到找到该范围内的最大数。打印这些数字。

步骤4 − 同时打印满足步骤2和步骤3中规定的规则的数字，通过找到两个列表中的公共元素。

步骤5 − 运行程序，然后检查结果。

该Python文件包含以下内容

list1=[]
list2=[]
lowNum=200
highNum=300

tobeadded=7 - (lowNum % 7)
startNum= lowNum + tobeadded
numoftimes=int(startNum/7)
print(numoftimes)

for item in range(lowNum, highNum):
   if item==startNum:
      list1.append(startNum)
      numoftimes += 1
      startNum = 7 * (numoftimes)

tobeadded1=5 - (lowNum % 5)
startNum1= lowNum + tobeadded1
numoftimess=int(startNum1/5)
print(numoftimess)

for item in range(lowNum, highNum):
   if item==startNum1:
      list2.append(startNum1)
      numoftimess += 1
      startNum1 = 5 * numoftimess    

print("In the given range from ", lowNum, " to", highNum, " :")
print("\nThe following numbers are divisible by 7 :")
print(list1)

print("\nThe following numbers are multiple of 5 :")
print(list2)

inbothlists = [ele for ele in list1 if ele in list2]
print("\nIn the given range from ", lowNum, " to", highNum, " :")
print("These numbers ", inbothlists, "are divisible by 7 and also a multiple of 5")

结果

打开命令行窗口并运行Python文件以查看结果。

29
41
In the given range from  200  to 300  :

The following numbers are divisible by 7 :
[203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294]

The following numbers are multiple of 5 :
[205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295]

In the given range from  200  to 300  :
These numbers  [210, 245, 280] are divisible by 7 and also a multiple of 5

图3: 以列表形式显示结果。