This a a slight modification of How to put algorithm and figure(s) side by side?
Here is a minimal example showing how to pair algorithms side-by-side:

\documentclass{llncs}% http://www.springer.com/computer/lncs/lncs+authors?SGWID=0-40209-0-0-0
\usepackage[margin=1in]{geometry}% http://ctan.org/pkg/geometry
\usepackage{lipsum}% http://ctan.org/pkg/lipsum
\usepackage{algorithm}% http://ctan.org/pkg/algorithm
\usepackage{algpseudocode}% http://ctan.org/pkg/algorithmicx
\usepackage[compatibility=false]{caption}% http://ctan.org/pkg/caption
\begin{document}
\lipsum[1]
\medskip
\noindent\begin{minipage}{.5\textwidth}
\captionof{algorithm}{Euclid’s algorithm}\label{algo1}
\begin{algorithmic}[1]
\Procedure{Euclid}{$a,b$}\Comment{The g.c.d. of a and b}
\State $r\gets a\bmod b$
\While{$r\not=0$}\Comment{We have the answer if r is 0}
\State $a\gets b$
\State $b\gets r$
\State $r\gets a\bmod b$
\EndWhile
\State \textbf{return} $b$\Comment{The gcd is b}
\EndProcedure
\end{algorithmic}
\end{minipage}%
\begin{minipage}{.5\textwidth}
\captionof{algorithm}{Euclid’s algorithm}\label{algo2}
\begin{algorithmic}[1]
\Procedure{Euclid}{$a,b$}\Comment{The g.c.d. of a and b}
\State $r\gets a\bmod b$
\While{$r\not=0$}\Comment{We have the answer if r is 0}
\State $a\gets b$
\State $b\gets r$
\State $r\gets a\bmod b$
\EndWhile
\State \textbf{return} $b$\Comment{The gcd is b}
\EndProcedure
\end{algorithmic}
\end{minipage}
\medskip
On the left is Algorithm~\ref{algo1}. On the right is Algorithm~\ref{algo2}.
\lipsum[2]
\end{document}
The idea behind this approach is to have two minipages spanning the entire \linewidth. These minipages then house the non-floating algorithmic environments, as well as the non-floating \captionof caption. If need be, you can wrap the entire double minipage inside a floating algorithm environment.
The use of geometry was just to gain some stock real estate (may not be required in your instance), while lipsum provided some dummy text, Lorem ipsum style.
caption provides the means to have a caption outside of a float via \captionof. However, it requires the compatibility=false option to work, since llncs already redefines \caption - detected by caption. algorithm is still required, since it provides the algorithm counter and "List of Algorithms" capability.
minipages? – cmhughes Jul 01 '12 at 00:49