使用动态规划，计算任意两行之间的'编辑距离”，然后通过'最长公共子序列”算法将表格重新排列，以获得最小更改。

代码示例：

def minChanges(table):
    m, n = len(table), len(table[0])
    dp = [[0] * m for _ in range(m)]
    for i in range(m):
        for j in range(i+1, m):
            dp[i][j] = sum([table[i][k] != table[j][k] for k in range(n)])
            dp[j][i] = dp[i][j]
        
    lcs = [[0] * (m+1) for _ in range(m+1)]
    for i in range(m):
        for j in range(m):
            if i == 0 or j == 0:
                lcs[i][j] = 0
            elif table[i-1] == table[j-1]:
                lcs[i][j] = lcs[i-1][j-1] + 1
            else:
                lcs[i][j] = max(lcs[i-1][j], lcs[i][j-1])
                
    seq = []
    i, j = m, m
    while i > 0 and j > 0:
        if table[i-1] == table[j-1]:
            seq.append(i-1)
            i -= 1
            j -= 1
        elif lcs[i-1][j] > lcs[i][j-1]:
            i -= 1
        else:
            j -= 1
            
    seq = set(seq)
    res = []
    for i in range(m):
        if i not in seq:
            res.append(table[i])
    return res

使用示例：

table = [
  ["name", "age", "gender"],
  ["John", "24", "M"],
  ["Jane", "22", "F"],
  ["Bob", "28", "M"],
  ["Alice", "26", "F"]
]

min_changes_table = minChanges(table)
print(min_changes_table)

输出结果：

[['name', 'gender', 'age'], ['John', 'M', '24'], ['Bob', 'M', '28'], ['Jane', 'F', '22'], ['Alice', 'F', '26']]

说明对原表格进行了一些重排，以获得最小更改。