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%% 
%%  A DANTE-Edition example
%% 
%%  Example 05-01-4 on page 169.
%% 
%%  Copyright (C) 2010 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%% 
%%  See http://www.latex-project.org/lppl.txt for details.
%% 
%% 
%% ==== 
% Show page(s) 1
%% 
\documentclass[]{article}
\pagestyle{empty}
\setlength\textwidth{153.70511pt}
\usepackage[utf8]{inputenc}
\usepackage[english]{babel}
\setlength\parindent{0pt}
\usepackage{longtable}
\makeatletter
\newcommand*{\org@longtable}{}
\let\org@longtable\longtable
\def\longtable{%
  \begingroup
    \advance\c@LT@tables\@ne
    \edef\x{LT@\romannumeral\c@LT@tables}%
    \global\LongtableWidth\z@
    \@ifundefined{\x}{% longtable width not available
    }{\def\LT@entry##1##2{%
      \global\advance\LongtableWidth##2\relax}%
      \@nameuse{\x}}%
    \typeout{* \x: \the\LongtableWidth}%debug output
  \endgroup
  \ifdim\LongtableWidth>\z@
    \setlength{\LTcapwidth}{\LongtableWidth}%
  \fi
  \org@longtable}
\makeatother

\usepackage{longtable}
\newlength\LongtableWidth% Siehe Beispielcode

\begin{document}
\begin{longtable}{|ll|}
\caption{Caption for a \texttt{longtable}\dotfill}\\
Hello & world and some more\\
foo   & bar
\end{longtable}
\begin{center}
\begin{minipage}{\LongtableWidth}
Here we have text with the same width as
the \texttt{longtable}.
\end{minipage}
\end{center}
\end{document}