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\documentclass[
%	fontsize = 11pt, % Voreinstellung
%	paper=a4,        % Voreinstellung
%	twoside=false,	 % Voreinstellung
	listof=totoc,
	bibliography=totoc,
	numbers=noenddot,
	leadsepline
]{scrartcl}

\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[ngerman]{babel}
\usepackage[longend, dotocloa, lined, ruled, algosection, linesnumbered]{algorithm2e}
\usepackage{hyperref}

\SetAlgorithmName{Algorithmus}{Algorithmus}{Algorithmenverzeichnis} % <- eingefügt

\begin{document}

    \tableofcontents
    \listofalgorithms

	 \section{Abschnitt}
    
    \autoref{factorizationmain}
    
    \begin{algorithm}
        \DontPrintSemicolon
        \SetKwProg{Fn}{Funktion}{}{end Funktion} % <- geändert
        \Fn{\textsc{FactorizationMain}(f)}{
            \While{not at end of this document} {
                read current\;
            }
            \KwRet{Test}
        }
        \caption{Test}
        \label{factorizationmain}
    \end{algorithm}
    
\end{document}

\documentclass [fontsize = 11pt, paper=a4,  twoside=false, listof=totoc,
                bibliography=totoc, numbers=noenddot, leadsepline]{scrartcl}

\usepackage[utf8]{inputenc}
\usepackage[ngerman]{babel}
\usepackage[T1]{fontenc}
\usepackage[longend, dotocloa, lined, ruled, algosection, linesnumbered]{algorithm2e}

\begin{document}

    \tableofcontents
    \listofalgorithms
    \vspace*{5ex}
    
    \begin{algorithm}[H]
        \SetAlgorithmName{Algorithmus}{}{Algorithmenverzeichnis}
        \DontPrintSemicolon
        \SetKwProg{Fn}{Funktion}{}{}
        \Fn{\textsc{FactorizationMain}(f)}{
            \While{not at end of this document} {
                read current\;
            }
            \KwRet{Test}
        }
        \caption{Test}
    \end{algorithm}
    
\end{document}