LaTeX has three length variables to control (i) the distance between two adjacent floating objects (such as figure, table, or algorithm objects), (ii) the distance between a float at the top (bottom) of a page and the text below (above) it, and (iii) the distance between an in-text float and the text above and below it; they are called \floatsep, \textfloatsep, and \intextsep, respectively. (LaTeX also has three more such variables to control the spacing above and/or below floats on floats-only pages; these are \@fptop, \@fpbot, and \@fpsep, respectively.)
To completely suppress the in-text separation of a float (not recommended, by the way!!), you'd type (in the preamble)
\setlength{\intextsep}{0pt}
i.e., you'd set \intextsep to a fixed length of 0 points. A better solution, if you're pressed for space (pun intended), would be to set
\setlength{\intextsep}{1\baselineskip}
Here's a MWE that uses the algorithm2e package:
\documentclass{article}
\usepackage{algorithm2e}
\newcommand{\lipsone}{Lorem ipsum dolor sit amet, consectetuer
adipiscing elit. Ut purus elit, vestibulum ut, placerat ac,
adipiscing vitae, felis.}
\newcommand{\lipstwo}{Donec vehicula augue eu neque. Pellentesque
habitant morbi tristique senectus et netus et malesuada fames ac
turpis egestas.}
\begin{document}
\subsubsection*{With default setting of \texttt{\textbackslash intextsep}}
\lipsone
\begin{algorithm}
\caption{A random example}
\SetAlgoLined
\KwData{Some input}[h]
\KwResult{Some output}
initialization\;
\While{not at end of this document}{read}
{go back to beginning\;}
\end{algorithm}
\lipstwo
\subsubsection*{After setting \texttt{\textbackslash intextsep} to 0pt}
\setlength{\intextsep}{0pt}
\lipsone
\begin{algorithm}
\caption{Another random example}
\SetAlgoLined
\KwData{Some input}
\KwResult{Some output}
initialization\;
\While{not at end of this document}{read}
{go back to beginning\;}
\end{algorithm}
\lipstwo
\end{document}