L1-048 矩阵 A 乘以 B
给定两个矩阵A和B,要求你计算它们的乘积矩阵A**B。需要注意的是,只有规模匹配的矩阵才可以相乘。即若A有R**a行、C**a列,B有R**b行、C**b列,则只有C**a与R**b相等时,两个矩阵才能相乘。
输入格式:
输入先后给出两个矩阵A和B。对于每个矩阵,首先在一行中给出其行数R和列数C,随后R行,每行给出C个整数,以 1 个空格分隔,且行首尾没有多余的空格。输入保证两个矩阵的R和C都是正数,并且所有整数的绝对值不超过 100。
输出格式:
若输入的两个矩阵的规模是匹配的,则按照输入的格式输出乘积矩阵A**B,否则输出Error: Ca != Rb
,其中Ca
是A的列数,Rb
是B的行数。
输入样例 1:
tex
2 3
1 2 3
4 5 6
3 4
7 8 9 0
-1 -2 -3 -4
5 6 7 8
2 3
1 2 3
4 5 6
3 4
7 8 9 0
-1 -2 -3 -4
5 6 7 8
输出样例 1:
tex
2 4
20 22 24 16
53 58 63 28
2 4
20 22 24 16
53 58 63 28
输入样例 2:
3 2
38 26
43 -5
0 17
3 2
-11 57
99 68
81 72
3 2
38 26
43 -5
0 17
3 2
-11 57
99 68
81 72
输出样例 2:
Error: 2 != 3
Error: 2 != 3
Solution:
java
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.StreamTokenizer;
public class Main {
static int[][] a = new int[101][101];
static int[][] b = new int[101][101];
static int ra, ca, rb, cb;
static int f(int r, int c) {
int sum = 0;
for (int i = 1; i <= ca; i++)
sum += a[r][i] * b[i][c];
return sum;
}
public static void main(String[] args) throws IOException {
StreamTokenizer in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
in.nextToken();
ra = (int) in.nval;
in.nextToken();
ca = (int) in.nval;
for (int i = 1; i <= ra; i++) {
for (int j = 1; j <= ca; j++) {
in.nextToken();
a[i][j] = (int) in.nval;
}
}
in.nextToken();
rb = (int) in.nval;
in.nextToken();
cb = (int) in.nval;
for (int i = 1; i <= rb; i++) {
for (int j = 1; j <= cb; j++) {
in.nextToken();
b[i][j] = (int) in.nval;
}
}
if (ca != rb) {
System.out.printf("Error: %d != %d", ca, rb);
} else {
System.out.printf("%d %d\n", ra, cb);
StringBuilder sb = new StringBuilder();
for (int i = 1; i <= ra; i++) {
for (int j = 1; j <= cb; j++) {
if (j > 1) sb.append(" ");
sb.append(f(i, j));
}
sb.append("\n");
}
System.out.print(sb);
}
}
}
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.StreamTokenizer;
public class Main {
static int[][] a = new int[101][101];
static int[][] b = new int[101][101];
static int ra, ca, rb, cb;
static int f(int r, int c) {
int sum = 0;
for (int i = 1; i <= ca; i++)
sum += a[r][i] * b[i][c];
return sum;
}
public static void main(String[] args) throws IOException {
StreamTokenizer in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
in.nextToken();
ra = (int) in.nval;
in.nextToken();
ca = (int) in.nval;
for (int i = 1; i <= ra; i++) {
for (int j = 1; j <= ca; j++) {
in.nextToken();
a[i][j] = (int) in.nval;
}
}
in.nextToken();
rb = (int) in.nval;
in.nextToken();
cb = (int) in.nval;
for (int i = 1; i <= rb; i++) {
for (int j = 1; j <= cb; j++) {
in.nextToken();
b[i][j] = (int) in.nval;
}
}
if (ca != rb) {
System.out.printf("Error: %d != %d", ca, rb);
} else {
System.out.printf("%d %d\n", ra, cb);
StringBuilder sb = new StringBuilder();
for (int i = 1; i <= ra; i++) {
for (int j = 1; j <= cb; j++) {
if (j > 1) sb.append(" ");
sb.append(f(i, j));
}
sb.append("\n");
}
System.out.print(sb);
}
}
}