累计总和是多少?
累计的总和意味着“到目前为止有多少”。累积和的定义是给定序列的和,该序列随着更多的加法而增加或变大。累积总和的真实例子是秋千池里不断增加的水量。
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 = []
length = 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]