用python算前十行杨辉三角形
时间: 2023-06-30 11:10:29 浏览: 125
以下是用 Python 程序计算前十行杨辉三角形的代码:
```python
def pascals_triangle(n):
triangle = []
for i in range(n):
row = [1] * (i + 1)
for j in range(1, i):
row[j] = triangle[i-1][j-1] + triangle[i-1][j]
triangle.append(row)
return triangle
# 输出前 10 行杨辉三角形
for row in pascals_triangle(10):
print(row)
```
这个程序定义了一个 `pascals_triangle(n)` 函数,它接受一个整数 `n`,表示要计算前几行杨辉三角形。函数使用一个二维列表 `triangle` 来保存杨辉三角形,每一行的长度为当前行数,初始值为 1,然后使用两个嵌套的循环来计算中间的数值。最后,函数返回整个杨辉三角形的列表。
在程序的最后,我们调用 `pascals_triangle(10)` 来计算前 10 行杨辉三角形,并使用一个循环来逐行输出结果。
相关问题
用python打印十行杨辉三角形
以下是使用Python编写的打印十行杨辉三角形的代码:
```python
def pascal_triangle(n):
triangle = [[1]]
for i in range(1, n):
row = [1]
for j in range(1, i):
row.append(triangle[i-1][j-1] + triangle[i-1][j])
row.append(1)
triangle.append(row)
return triangle
def print_pascal_triangle(n):
triangle = pascal_triangle(n)
for row in triangle:
print(" ".join(str(num) for num in row).center(n*3))
print_pascal_triangle(10)
```
输出结果为:
```text
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
```
Python计算并输出前十行杨辉三角形
以下是Python代码:
```python
def generate_next_row(row):
result = [1]
for i in range(len(row) - 1):
result.append(row[i] + row[i + 1])
result.append(1)
return result
def generate_pascal_triangle(num_rows):
pascal_triangle = []
curr_row = [1]
for i in range(num_rows):
pascal_triangle.append(curr_row)
curr_row = generate_next_row(curr_row)
return pascal_triangle
def print_pascal_triangle(num_rows):
pascal_triangle = generate_pascal_triangle(num_rows)
for row in pascal_triangle:
print(row)
print_pascal_triangle(10)
```
输出结果:
```
[1]
[1, 1]
[1, 2, 1]
[1, 3, 3, 1]
[1, 4, 6, 4, 1]
[1, 5, 10, 10, 5, 1]
[1, 6, 15, 20, 15, 6, 1]
[1, 7, 21, 35, 35, 21, 7, 1]
[1, 8, 28, 56, 70, 56, 28, 8, 1]
[1, 9, 36, 84, 126, 126, 84, 36, 9, 1]
```
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