计算 $n+1$ 阶行列式的值：$\left|\begin{array}{cccccc}-a_1 & a_1 & 0 & \cdots & 0 & 0 \\ 0 & -a_2 & a_2 & \cdots & 0 & 0 \\ \vdots & \vdots & \vdots & & \vdots & \vdots \\ 0 & 0 & 0 & \cdots & -a_n & a_n \\ 1 & 1 & 1 & \cdots & 1 & 1\end{array}\right|$
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