程序检查两个给定矩阵在C ++中是否相同
给定两个矩阵M1[r][c]和M2[r][c],行数为“r”,列数为“c”,我们必须检查两个给定的矩阵是否相同。如果它们相同,则打印“矩阵相同”,否则打印“矩阵不相同”
相同矩阵
在以下情况下,两个矩阵M1和M2称为相同:
两种矩阵的行数和列数相同。
M1[i][j]的值等于M2[i][j]。
像下面的给定图一样,3x3的矩阵m1和m2相同-
$$M1[3][3]=\begin{bmatrix}1&2&3\\4&5&6\\7&8&9\\\end{bmatrix}\:\:\:\::M2[3][3]=\开始{bmatrix}1&2&3\\4&5&6\\7&8&9\\\end{bmatrix}$$
示例
Input: a[n][n] = { {2, 2, 2, 2}, {2, 2, 2, 2}, {3,3, 3, 3}, {3,3, 3, 3}}; b[n][n]= { {2, 2, 2, 2}, {2, 2, 2, 2}, {3, 3, 3, 3}, {3, 3, 3, 3}}; Output: matrices are identical Input: a[n][n] = { {2, 2, 2, 2}, {2, 2, 1, 2}, {3,3, 3, 3}, {3,3, 3, 3}}; b[n][n]= { {2, 2, 2, 2}, {2, 2, 5, 2}, {3, 3, 3, 3}, {3, 3, 3, 3}}; Output: matrices are not identical
方法
迭代两个矩阵a[i][j]和b[i][j],并检查a[i][j]==b[i][j]如果对所有矩阵均为true,则打印它们相同,否则打印它们不一样
算法
Start Step 1 -> define macro as #define n 4 Step 2 -> Declare function to检查矩阵是否相同 int check(int a[][n], int b[][n]) declare int i, j Loop For i = 0 and i < n and i++ Loop For j = 0 and j < n and j++ IF (a[i][j] != b[i][j]) return 0 End End End return 1 Step 3 -> In main() Declare variable asint a[n][n] = { {2, 2, 2, 2}, {2, 2, 2, 2}, {3, 3, 3, 3}, {3, 3, 3, 3}} Declare another variable as int b[n][n] = { {2, 2, 2, 2}, {2, 2, 2, 2}, {3, 3, 3, 3}, {3, 3, 3, 3}} IF (check(a, b)) Print matrices are identical Else Print matrices are not identical Stop
示例
#include <bits/stdc++.h> #define n 4 using namespace std; //检查矩阵是否相同 int check(int a[][n], int b[][n]){ int i, j; for (i = 0; i < n; i++) for (j = 0; j < n; j++) if (a[i][j] != b[i][j]) return 0; return 1; } int main(){ int a[n][n] = { {2, 2, 2, 2}, {2, 2, 2, 2}, {3, 3, 3, 3}, {3, 3, 3, 3}}; int b[n][n] = { {2, 2, 2, 2}, {2, 2, 2, 2}, {3, 3, 3, 3}, {3, 3, 3, 3}}; if (check(a, b)) cout << "matrices are identical"; else cout << "matrices are not identical"; return 0; }
输出结果
matrices are identical