If drawing is exported to Latex format (see steps for more details) the line (or other objects) which has set color as black are being saved in output file as:
\draw[color={rgb:red,0;green,0;blue,0}, line width=0.5pt, solid] (-2.59,1.23) -- (2.60,-1.79);
The part "color={rgb:red,0;green,0;blue,0}" creates problem for Latex version as of Ubuntu 14.04:
After such files is included in latex document pdflatex raises error: "arithmetic overflow" or so, and final pdf file is not generated.
My investigation showed that replacing part in qustion with: "color=black" resolves problem (i.e. pdflatex correctly comlipe the file).
AFAIK problem only happens with pure black color (all RGB compoments eq zero).

Reproducible: Always

Steps to Reproduce:
1.Open Kig and create any drawing
2.For one of the objects (e.g. segment) set color as black.
3.Choose File/Export To/Latex menu and enter filename: bug.tex
4.On latex options dlalog leave defaults (i.e. format Tikx/PGF)
5.Create .tex master document; in its preambule declare \usepackage{tikz}; in the body include our exported graph, e.g.
\parbox{0.5\textwidth}{\input{bug}}
6. BUG: Try compiling master document either directly with pdflatex or thru some IDE like Kile. You will get error:
! Arithmetic overflow. <recently read> \@tempcntb                      
l.14 ... (-3.62675,0.524092) -- (1.97934,1.18797);
7. Replace color specification in bug.tex file as sugested in Details section
8. Now Latex document compiles without error and picture is visible in PDF

Actual Results:  
File exported from Kig and Imported to Latex does not compile

Expected Results:  
I know that root cause is in Latex or rather tikz package, but:
While exporting to Tikz, I would propose to use predefined color aliases (black, red, blue, green, gray, etc.) for objects which colors were set thru direct menu option and full RGB notation for colors set thru color picker dialog.
This sounds like latex bug workaround, but will also improve exported files readability.