Python教程-Python中的累积求和程序

什么是累积求和？

累积求和意味着“到目前为止的总和”。累积求和的定义是给定序列的总和，该序列通过不断添加元素而增加。累积求和的真实示例是游泳池中水量的增加。

示例：

Input: 10, 15, 20, 25, 30  
Output: 10, 25, 45, 70, 100  
  
Input: 1, 2, 3, 4, 5 6, 7 ,8, 9, 10  
Output: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55  

程序1：

# Cumulative sum  
def Cumulative_sum(lists):   
    cum_list = []   
    lenlength = len(lists)   
    cum_list = [sum(lists[0:x:1]) for x in range(0, length+1)]   
    return cum_list[1:]  
  
lists = [10, 15, 20, 25, 30]   
print (Cumulative_sum(lists))  

输出：

10, 25, 45, 70, 100

程序2：

list=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]  
cum_list=[]   
y = 0  
for x in range(0,len(list)):  
    y+=list[x]  
    cum_list.append(y)   
      
print(cum_list)   

输出：

1, 3, 6, 10, 15, 21, 28, 36, 45, 55

程序3：用户定义程序

i = []  
n = int(input("enter the no of elements in list:"))  
for x in range(0,n):  
    element=int(input("enter the element" + str(x+1) + ":"))  
    i.append(element)  
j=[sum(i[0:x+1]) for x in range(0,len(i))]  
print("Original list is: ",i)  
print("Cumulative sum list is: ",j)  

输出：

enter the no of elements in list: 10
enter the element1: 2
enter the element2: 3
enter the element3: 8
enter the element4: 6
enter the element5: 45
enter the element6: 32
enter the element7: 56
enter the element8: 32
enter the element9: 14
enter the element10: 25
Original list is: [2, 3, 8, 6, 45, 32, 56, 32, 14, 25]
Cumulative sum list is: [2, 5, 13, 19, 64, 96, 152, 184, 198, 223]