1、前言
给定两个 稀疏矩阵 A 和 B,返回AB的结果。
您可以假设A的列数等于B的行数。
输入:
[[1,0,0],[-1,0,3]]
[[7,0,0],[0,0,0],[0,0,1]]
输出:
[[7,0,0],[-7,0,3]]
解释:
A = [
[ 1, 0, 0],
[-1, 0, 3]
]
B = [
[ 7, 0, 0 ],
[ 0, 0, 0 ],
[ 0, 0, 1 ]
]
| 1 0 0 | | 7 0 0 | | 7 0 0 |
AB = | -1 0 3 | x | 0 0 0 | = | -7 0 3 |
| 0 0 1 |
2、思路
按照矩阵的乘法运算来运算,最后的结果是 m * y
3、代码
public int[][] multiply(int[][] a, int[][] b) {
int m = a.length, n = a[0].length;
int x = b.length, y = b[0].length;
int[][] res = new int[m][y];
for(int i = 0; i < m; i++){
for(int j = 0; j < y; j++){
int[] aArr = a[i];
int sum = 0;
for (int index = 0; index < aArr.length; index++) {
sum += a[i][index] * b[index][j];
}
res[i][j] = sum;
}
}
return res;
}