用c++写一个矩阵连乘算法
时间: 2024-04-30 22:17:53 浏览: 116
下面是C语言实现的矩阵连乘算法:
```c
#include <stdio.h>
#include <limits.h>
#define MAX_SIZE 100
int matrixChainOrder(int p[], int n);
int main() {
int p[MAX_SIZE], n;
printf("Enter number of matrices: ");
scanf("%d", &n);
printf("Enter dimensions of matrices: ");
for (int i = 0; i <= n; i++) {
scanf("%d", &p[i]);
}
printf("Minimum number of multiplications: %d\n", matrixChainOrder(p, n));
return 0;
}
int matrixChainOrder(int p[], int n) {
int m[MAX_SIZE][MAX_SIZE];
for (int i = 1; i <= n; i++) {
m[i][i] = 0;
}
for (int L = 2; L <= n; L++) {
for (int i = 1; i <= n - L + 1; i++) {
int j = i + L - 1;
m[i][j] = INT_MAX;
for (int k = i; k <= j - 1; k++) {
int q = m[i][k] + m[k + 1][j] + p[i - 1] * p[k] * p[j];
if (q < m[i][j]) {
m[i][j] = q;
}
}
}
}
return m[1][n];
}
```
其中,`matrixChainOrder`函数计算矩阵连乘的最小乘法次数,输入参数`p`表示矩阵的维度,`n`表示矩阵的个数。这里使用动态规划的思想,通过填充一个二维数组`m`,求出矩阵连乘的最小乘法次数。
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